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АРАЛАШ КӨБӨЙТҮНДҮ - Өзгөртүүлөр тарыхы
2026-06-01T06:18:52Z
Уикидеги бул барактын өзгөртүү тарыхы
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Kadyrm: /* top */clean up, replaced: м-н → <span cat='ж.кыск' oldv='м-н'>менен</span> (3), ж-а → <span cat='ж.кыск' oldv='ж-а'>жана</span>
2022-12-05T11:21:01Z
<p><span dir="auto"><span class="autocomment">top: </span>clean up, replaced: м-н → <span cat='ж.кыск' oldv='м-н'>менен</span> (3), ж-а → <span cat='ж.кыск' oldv='ж-а'>жана</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">11:21, 5 Декабрь (Бештин айы) 2022 -деги абалы</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору <ins style="font-weight: bold; text-decoration: none;"><span cat='ж.кыск' oldv='</ins>м-н<ins style="font-weight: bold; text-decoration: none;">'>менен</span> </ins> <math display="inline">\vec{b}</math> <ins style="font-weight: bold; text-decoration: none;"><span cat='ж.кыск' oldv='</ins>ж-а<ins style="font-weight: bold; text-decoration: none;">'>жана</span> </ins><math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{b}, \vec{c}, \vec{a}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{b}, \vec{c}, \vec{a}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{c}, \vec{a}, \vec{b}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{c}, \vec{a}, \vec{b}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{b}, \vec{a}, \vec{c}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{b}, \vec{a}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{a}, \vec{c}, \vec{b}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{a}, \vec{c}, \vec{b}) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>. Компланардуу эмес <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline">V = \pm (\vec{a}, [\vec{b}, \vec{c}])</math>'''''.''''' Эгер <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(а,'' сүрөт), ал эми</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>. Компланардуу эмес <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline">V = \pm (\vec{a}, [\vec{b}, \vec{c}])</math>'''''.''''' Эгер <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги <ins style="font-weight: bold; text-decoration: none;"><span cat='ж.кыск' oldv='</ins>м-н<ins style="font-weight: bold; text-decoration: none;">'>менен</span> </ins>''(а,'' сүрөт), ал эми</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><gallery></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><gallery></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_37.png</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_37.png</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></gallery></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></gallery></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (б, сүрөт). Эгер ''<math display="inline">\vec{a}, \vec{b}, \vec{c}</math>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} координа&#0173;таларына ээ болсо, анда ,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги <ins style="font-weight: bold; text-decoration: none;"><span cat='ж.кыск' oldv='</ins>м-н<ins style="font-weight: bold; text-decoration: none;">'>менен</span> </ins>алынат (б, сүрөт). Эгер ''<math display="inline">\vec{a}, \vec{b}, \vec{c}</math>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} координа&#0173;таларына ээ болсо, анда ,</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l18">18 -сап:</td>
<td colspan="2" class="diff-lineno">18 -сап:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math>''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math>''</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[<del style="font-weight: bold; text-decoration: none;">Category</del>: Математика]][[<del style="font-weight: bold; text-decoration: none;">Category</del>: 1-Том]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[<ins style="font-weight: bold; text-decoration: none;">Категория</ins>:Математика]][[<ins style="font-weight: bold; text-decoration: none;">Категория</ins>:1-Том]]</div></td></tr>
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Kadyrm
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Kadyrm, 16:27, 24 -ноябрь (Жетинин айы) 2022 карата
2022-11-24T16:27:15Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">16:27, 24 -ноябрь (Жетинин айы) 2022 -деги абалы</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">1 -сап:</td>
<td colspan="2" class="diff-lineno">1 -сап:</td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү: <math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> <ins style="font-weight: bold; text-decoration: none;"> </ins>= <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c})<del style="font-weight: bold; text-decoration: none;"></math> </del>= (<del style="font-weight: bold; text-decoration: none;">й</del>,<del style="font-weight: bold; text-decoration: none;">с</del>,<del style="font-weight: bold; text-decoration: none;">а</del>) = (<del style="font-weight: bold; text-decoration: none;">''с</del>,<del style="font-weight: bold; text-decoration: none;">а</del>,<del style="font-weight: bold; text-decoration: none;">Щ </del>= <del style="font-weight: bold; text-decoration: none;">~</del>{<del style="font-weight: bold; text-decoration: none;">Ъ</del>,<del style="font-weight: bold; text-decoration: none;">а</del>,<del style="font-weight: bold; text-decoration: none;">с''</del>) = <del style="font-weight: bold; text-decoration: none;">''~[а</del>,<del style="font-weight: bold; text-decoration: none;">с</del>,<del style="font-weight: bold; text-decoration: none;">Ъ''</del>) =<del style="font-weight: bold; text-decoration: none;"><br>''= </del>-{<del style="font-weight: bold; text-decoration: none;">с</del>,<del style="font-weight: bold; text-decoration: none;">Ъ</del>,<del style="font-weight: bold; text-decoration: none;">а^</del>,{<del style="font-weight: bold; text-decoration: none;">а</del>,<del style="font-weight: bold; text-decoration: none;">Ъ</del>,<del style="font-weight: bold; text-decoration: none;">с^ </del>=<del style="font-weight: bold; text-decoration: none;">'' </del>0. Компланардуу эмес <del style="font-weight: bold; text-decoration: none;">''а</del>,<del style="font-weight: bold; text-decoration: none;">Ь</del>,<del style="font-weight: bold; text-decoration: none;">с'' </del>векторлорунун А. к-сү ал векторлор аркылуу</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>(<ins style="font-weight: bold; text-decoration: none;">\vec{b}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{c}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{a}</ins>) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>тургузулган оң же терс белгиде алынган <del style="font-weight: bold; text-decoration: none;">парал-<br></del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>(<ins style="font-weight: bold; text-decoration: none;">\vec{c}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{a}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{b}) </ins>=</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">лелепипедцин </del>көлөмүнө барабар: <del style="font-weight: bold; text-decoration: none;">''</del>V <del style="font-weight: bold; text-decoration: none;">'''</del>= <del style="font-weight: bold; text-decoration: none;">±</del>(<del style="font-weight: bold; text-decoration: none;">а</del>,\<del style="font-weight: bold; text-decoration: none;">Ь</del>,<del style="font-weight: bold; text-decoration: none;">с^</del>.''''' Эгер <del style="font-weight: bold; text-decoration: none;">''а</del>, <del style="font-weight: bold; text-decoration: none;">Ъ</del>, <del style="font-weight: bold; text-decoration: none;">с'' </del>векторлору оң үчүлтүктү түзсө, анда көлөм ''<del style="font-weight: bold; text-decoration: none;">н</del>'' оң (+) белги м-н ''(а,'' сүрөт), ал эми<del style="font-weight: bold; text-decoration: none;">[[File:АРАЛАШ КӨБӨЙТҮНДҮ_35.png | thumb | Формула 10]]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">- (\vec</ins>{<ins style="font-weight: bold; text-decoration: none;">b}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{a}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{c}</ins>) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[</del>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png <del style="font-weight: bold; text-decoration: none;">| thumb | none]]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">- (\vec{a}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{c}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{b}</ins>) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[</del>File:АРАЛАШ КӨБӨЙТҮНДҮ_37.png <del style="font-weight: bold; text-decoration: none;">| thumb | none]]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>- <ins style="font-weight: bold; text-decoration: none;">(\vec</ins>{<ins style="font-weight: bold; text-decoration: none;">c}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{b}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{a})</ins>, <ins style="font-weight: bold; text-decoration: none;">(\vec</ins>{<ins style="font-weight: bold; text-decoration: none;">a}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{b}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{c}) </ins>= 0 <ins style="font-weight: bold; text-decoration: none;"></math></ins>. Компланардуу эмес <ins style="font-weight: bold; text-decoration: none;"><math display="inline">\vec{a}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{b}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{c}</math> </ins>векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган <ins style="font-weight: bold; text-decoration: none;">параллелепипеддин </ins>көлөмүнө барабар: <ins style="font-weight: bold; text-decoration: none;"><math display="inline"></ins>V = <ins style="font-weight: bold; text-decoration: none;">\pm </ins>(<ins style="font-weight: bold; text-decoration: none;">\vec{a}</ins>, <ins style="font-weight: bold; text-decoration: none;">[</ins>\<ins style="font-weight: bold; text-decoration: none;">vec{b}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{c}])</math>'''''</ins>.''''' Эгер <ins style="font-weight: bold; text-decoration: none;"><math display="inline">\vec{a}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{b}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{c}</math> </ins>векторлору оң үчүлтүктү түзсө, анда көлөм ''<ins style="font-weight: bold; text-decoration: none;">V</ins>'' оң (+) белги м-н ''(а,'' сүрөт), ал эми</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (б, сүрөт). Эгер ''<del style="font-weight: bold; text-decoration: none;">а</del>,b,<del style="font-weight: bold; text-decoration: none;">с</del>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} координа&#0173;таларына ээ болсо, анда ,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><gallery></ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br>[[<del style="font-weight: bold; text-decoration: none;">File</del>:<del style="font-weight: bold; text-decoration: none;">АРАЛАШ КӨБӨЙТҮНДҮ_38.png | thumb | Формула 11</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_37.png</div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></gallery></ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (б, сүрөт). Эгер ''<ins style="font-weight: bold; text-decoration: none;"><math display="inline">\vec{a}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{</ins>b<ins style="font-weight: bold; text-decoration: none;">}</ins>, <ins style="font-weight: bold; text-decoration: none;">\vec{c}</math></ins>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} координа&#0173;таларына ээ болсо, анда ,</div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">''<math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">\begin{vmatrix} X_1 & X_2 & X_3 </ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">\\ Y_1 & Y_2 & Y_3 </ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">\\ Z_1 & Z_2 & Z_3</ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">\end{vmatrix} </math>''</ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[<ins style="font-weight: bold; text-decoration: none;">Category: Математика]][[Category</ins>: <ins style="font-weight: bold; text-decoration: none;">1-Том</ins>]]</div></td></tr>
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Kadyrm
http://wnu.edu.kg/KyrgWiki/index.php?title=%D0%90%D0%A0%D0%90%D0%9B%D0%90%D0%A8_%D0%9A%D3%A8%D0%91%D3%A8%D0%99%D0%A2%D2%AE%D0%9D%D0%94%D2%AE&diff=29047&oldid=prev
Kadyrm: Reverted edits by Kadyrm (talk) to last revision by Dilde
2022-11-24T16:21:36Z
<p>Reverted edits by <a href="/KyrgWiki/index.php?title=%D0%90%D1%82%D0%B0%D0%B9%D1%8B%D0%BD:Contributions/Kadyrm" title="Атайын:Contributions/Kadyrm">Kadyrm</a> (<a href="/KyrgWiki/index.php?title=%D0%9A%D0%BE%D0%BB%D0%B4%D0%BE%D0%BD%D1%83%D1%83%D1%87%D1%83%D0%BD%D1%83%D0%BD_%D0%B1%D0%B0%D0%B0%D1%80%D0%BB%D0%B0%D1%88%D1%83%D1%83%D0%BB%D0%B0%D1%80%D1%8B:Kadyrm&action=edit&redlink=1" class="new" title="Колдонуучунун баарлашуулары:Kadyrm (мындай барак жок)">talk</a>) to last revision by <a href="/KyrgWiki/index.php?title=%D0%9A%D0%BE%D0%BB%D0%B4%D0%BE%D0%BD%D1%83%D1%83%D1%87%D1%83:Dilde&action=edit&redlink=1" class="new" title="Колдонуучу:Dilde (мындай барак жок)">Dilde</a></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Мурунку версиясы</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">16:21, 24 -ноябрь (Жетинин айы) 2022 -деги абалы</td>
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<td colspan="2" class="diff-lineno">1 -сап:</td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> <del style="font-weight: bold; text-decoration: none;"> </del>= <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү: <math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>(<del style="font-weight: bold; text-decoration: none;">\vec{b}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{c}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{a}</del>) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c})<ins style="font-weight: bold; text-decoration: none;"></math> </ins>= (<ins style="font-weight: bold; text-decoration: none;">й</ins>,<ins style="font-weight: bold; text-decoration: none;">с</ins>,<ins style="font-weight: bold; text-decoration: none;">а</ins>) = (<ins style="font-weight: bold; text-decoration: none;">''с</ins>,<ins style="font-weight: bold; text-decoration: none;">а</ins>,<ins style="font-weight: bold; text-decoration: none;">Щ </ins>= <ins style="font-weight: bold; text-decoration: none;">~</ins>{<ins style="font-weight: bold; text-decoration: none;">Ъ</ins>,<ins style="font-weight: bold; text-decoration: none;">а</ins>,<ins style="font-weight: bold; text-decoration: none;">с''</ins>) = <ins style="font-weight: bold; text-decoration: none;">''~[а</ins>,<ins style="font-weight: bold; text-decoration: none;">с</ins>,<ins style="font-weight: bold; text-decoration: none;">Ъ''</ins>) =<ins style="font-weight: bold; text-decoration: none;"><br>''= </ins>-{<ins style="font-weight: bold; text-decoration: none;">с</ins>,<ins style="font-weight: bold; text-decoration: none;">Ъ</ins>,<ins style="font-weight: bold; text-decoration: none;">а^</ins>,{<ins style="font-weight: bold; text-decoration: none;">а</ins>,<ins style="font-weight: bold; text-decoration: none;">Ъ</ins>,<ins style="font-weight: bold; text-decoration: none;">с^ </ins>=<ins style="font-weight: bold; text-decoration: none;">'' </ins>0. Компланардуу эмес <ins style="font-weight: bold; text-decoration: none;">''а</ins>,<ins style="font-weight: bold; text-decoration: none;">Ь</ins>,<ins style="font-weight: bold; text-decoration: none;">с'' </ins>векторлорунун А. к-сү ал векторлор аркылуу</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>(<del style="font-weight: bold; text-decoration: none;">\vec{c}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{a}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{b}) </del>=</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>тургузулган оң же терс белгиде алынган <ins style="font-weight: bold; text-decoration: none;">парал-<br></ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">- (\vec</del>{<del style="font-weight: bold; text-decoration: none;">b}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{a}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{c}</del>) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">лелепипедцин </ins>көлөмүнө барабар: <ins style="font-weight: bold; text-decoration: none;">''</ins>V <ins style="font-weight: bold; text-decoration: none;">'''</ins>= <ins style="font-weight: bold; text-decoration: none;">±</ins>(<ins style="font-weight: bold; text-decoration: none;">а</ins>,\<ins style="font-weight: bold; text-decoration: none;">Ь</ins>,<ins style="font-weight: bold; text-decoration: none;">с^</ins>.''''' Эгер <ins style="font-weight: bold; text-decoration: none;">''а</ins>, <ins style="font-weight: bold; text-decoration: none;">Ъ</ins>, <ins style="font-weight: bold; text-decoration: none;">с'' </ins>векторлору оң үчүлтүктү түзсө, анда көлөм ''<ins style="font-weight: bold; text-decoration: none;">н</ins>'' оң (+) белги м-н ''(а,'' сүрөт), ал эми<ins style="font-weight: bold; text-decoration: none;">[[File:АРАЛАШ КӨБӨЙТҮНДҮ_35.png | thumb | Формула 10]]</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">- (\vec{a}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{c}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{b}</del>) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[</ins>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png <ins style="font-weight: bold; text-decoration: none;">| thumb | none]]</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>- <del style="font-weight: bold; text-decoration: none;">(\vec</del>{<del style="font-weight: bold; text-decoration: none;">c}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{b}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{a})</del>, <del style="font-weight: bold; text-decoration: none;">(\vec</del>{<del style="font-weight: bold; text-decoration: none;">a}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{b}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{c}) </del>= 0 <del style="font-weight: bold; text-decoration: none;"></math></del>. Компланардуу эмес <del style="font-weight: bold; text-decoration: none;"><math display="inline">\vec{a}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{b}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{c}</math> </del>векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган <del style="font-weight: bold; text-decoration: none;">параллелепипеддин </del>көлөмүнө барабар: <del style="font-weight: bold; text-decoration: none;"><math display="inline"></del>V = <del style="font-weight: bold; text-decoration: none;">\pm </del>(<del style="font-weight: bold; text-decoration: none;">\vec{a}</del>, <del style="font-weight: bold; text-decoration: none;">[</del>\<del style="font-weight: bold; text-decoration: none;">vec{b}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{c}])</math>'''''</del>.''''' Эгер <del style="font-weight: bold; text-decoration: none;"><math display="inline">\vec{a}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{b}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{c}</math> </del>векторлору оң үчүлтүктү түзсө, анда көлөм ''<del style="font-weight: bold; text-decoration: none;">V</del>'' оң (+) белги м-н ''(а,'' сүрөт), ал эми</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[</ins>File:АРАЛАШ КӨБӨЙТҮНДҮ_37.png <ins style="font-weight: bold; text-decoration: none;">| thumb | none]]</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><gallery></del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (б, сүрөт). Эгер ''<ins style="font-weight: bold; text-decoration: none;">а</ins>,b,<ins style="font-weight: bold; text-decoration: none;">с</ins>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} координа&#0173;таларына ээ болсо, анда ,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br>[[<ins style="font-weight: bold; text-decoration: none;">File</ins>:<ins style="font-weight: bold; text-decoration: none;">АРАЛАШ КӨБӨЙТҮНДҮ_38.png | thumb | Формула 11</ins>]]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_37.png</div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></gallery></del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (б, сүрөт). Эгер ''<del style="font-weight: bold; text-decoration: none;"><math display="inline">\vec{a}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{</del>b<del style="font-weight: bold; text-decoration: none;">}</del>, <del style="font-weight: bold; text-decoration: none;">\vec{c}</math></del>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} координа&#0173;таларына ээ болсо, анда ,</div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">''<math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">\begin{vmatrix} X_1 & X_2 & X_3 </del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">\\ Y_1 & Y_2 & Y_3 </del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">\\ Z_1 & Z_2 & Z_3</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">\end{vmatrix} </math>''</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[<del style="font-weight: bold; text-decoration: none;">Category</del>: <del style="font-weight: bold; text-decoration: none;">Математика]][[Category: 1-Том, 2-редакция</del>]]</div></td><td colspan="2"></td></tr>
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Kadyrm
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Kadyrm, 16:16, 24 -ноябрь (Жетинин айы) 2022 карата
2022-11-24T16:16:31Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">16:16, 24 -ноябрь (Жетинин айы) 2022 -деги абалы</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l18">18 -сап:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math>''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math>''</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Category: Математика]][[Category: 1-Том]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Category: Математика]][[Category: 1-Том<ins style="font-weight: bold; text-decoration: none;">, 2-редакция</ins>]]</div></td></tr>
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Kadyrm
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Kadyrm, 16:07, 24 -ноябрь (Жетинин айы) 2022 карата
2022-11-24T16:07:06Z
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math>''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math>''</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td></tr>
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Kadyrm
http://wnu.edu.kg/KyrgWiki/index.php?title=%D0%90%D0%A0%D0%90%D0%9B%D0%90%D0%A8_%D0%9A%D3%A8%D0%91%D3%A8%D0%99%D0%A2%D2%AE%D0%9D%D0%94%D2%AE&diff=28507&oldid=prev
Kadyrm: Кайра 28504 жокко Kadyrm (сюзюу)
2022-11-17T05:37:37Z
<p>Кайра 28504 жокко <a href="/KyrgWiki/index.php?title=%D0%90%D1%82%D0%B0%D0%B9%D1%8B%D0%BD:Contributions/Kadyrm" title="Атайын:Contributions/Kadyrm">Kadyrm</a> (<a href="/KyrgWiki/index.php?title=%D0%9A%D0%BE%D0%BB%D0%B4%D0%BE%D0%BD%D1%83%D1%83%D1%87%D1%83%D0%BD%D1%83%D0%BD_%D0%B1%D0%B0%D0%B0%D1%80%D0%BB%D0%B0%D1%88%D1%83%D1%83%D0%BB%D0%B0%D1%80%D1%8B:Kadyrm&action=edit&redlink=1" class="new" title="Колдонуучунун баарлашуулары:Kadyrm (мындай барак жок)">сюзюу</a>)</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">05:37, 17 -ноябрь (Жетинин айы) 2022 -деги абалы</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) = (\vec{b}, \vec{c}, \vec{a}) = (\vec{c}, \vec{a}, \vec{b}) = - (\vec{b}, \vec{a}, \vec{c}) = - (\vec{a}, vec{c}, \vec{b}) = - (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Файл</del>:АРАЛАШ <del style="font-weight: bold; text-decoration: none;">КӨБӨЙТҮНДҮ 36</del>.png<del style="font-weight: bold; text-decoration: none;">|thumb|а, сүрөт]]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>(\vec{b}, \vec{c}, \vec{a}) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Файл</del>:АРАЛАШ КӨБӨЙТҮНДҮ_37.png<del style="font-weight: bold; text-decoration: none;">|thumb|</del>б,сүрөт<del style="font-weight: bold; text-decoration: none;">]]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>(\vec{c}, \vec{a}, \vec{b}) =</div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{b}, \vec{a}, \vec{c}) =</div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{a}, <ins style="font-weight: bold; text-decoration: none;">\</ins>vec{c}, \vec{b}) =</div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>. <ins style="font-weight: bold; text-decoration: none;">Компланардуу эмес <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline">V = \pm (\vec{a}, [\vec{b}, \vec{c}])</math>'''''.''''' Эгер <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(а,'' сүрөт), ал эми</ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><gallery></ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">File</ins>:АРАЛАШ <ins style="font-weight: bold; text-decoration: none;">КӨБӨЙТҮНДҮ_36</ins>.png</div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">File</ins>:АРАЛАШ КӨБӨЙТҮНДҮ_37.png</div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></gallery></ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (</ins>б, сүрөт<ins style="font-weight: bold; text-decoration: none;">). Эгер ''<math display="inline">\vec{a}, \vec{b}, \vec{c}</math>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} координа&#0173;таларына ээ болсо, анда ,</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Компланардуу эмес <math> \vec{a}, \vec{b}, \vec{c} </math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline"> V = \pm (\vec{a}, [\vec{b}, \vec{c}]) </math>.</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Эгер <math> \vec{a}, \vec{b}, \vec{c} </math></del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(а,'' сүрөт), ал эми сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (б, сүрөт).</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Эгер ''<math> \vec{a}, \vec{b}, \vec{c} </math>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} </del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">координа&#0173;таларына ээ болсо, анда,</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">''</ins><math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\begin{vmatrix} X_1 & X_2 & X_3 </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\begin{vmatrix} X_1 & X_2 & X_3 </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Y_1 & Y_2 & Y_3 </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Y_1 & Y_2 & Y_3 </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Z_1 & Z_2 & Z_3</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Z_1 & Z_2 & Z_3</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math><ins style="font-weight: bold; text-decoration: none;">''</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"></td></tr>
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Kadyrm
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Kadyrm, 05:35, 17 -ноябрь (Жетинин айы) 2022 карата
2022-11-17T05:35:03Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">05:35, 17 -ноябрь (Жетинин айы) 2022 -деги абалы</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">1 -сап:</td>
<td colspan="2" class="diff-lineno">1 -сап:</td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) = (\vec{b}, \vec{c}, \vec{a}) = (\vec{c}, \vec{a}, \vec{b}) = - (\vec{b}, \vec{a}, \vec{c}) = - (\vec{a}, vec{c}, \vec{b}) = - (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>(\vec{b}, \vec{c}, \vec{a}) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Файл</ins>:<ins style="font-weight: bold; text-decoration: none;">АРАЛАШ КӨБӨЙТҮНДҮ 36</ins>.<ins style="font-weight: bold; text-decoration: none;">png|thumb|</ins>а, сүрөт<ins style="font-weight: bold; text-decoration: none;">]]</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>(\vec{c}, \vec{a}, \vec{b}) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Файл</ins>:АРАЛАШ КӨБӨЙТҮНДҮ_37.png<ins style="font-weight: bold; text-decoration: none;">|thumb|</ins>б,сүрөт<ins style="font-weight: bold; text-decoration: none;">]]</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{b}, \vec{a}, \vec{c}) =</div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{a}, <del style="font-weight: bold; text-decoration: none;">\</del>vec{c}, \vec{b}) =</div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>. <del style="font-weight: bold; text-decoration: none;">Компланардуу эмес <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар</del>: <del style="font-weight: bold; text-decoration: none;"><math display="inline">V = \pm (\vec{a}, [\vec{b}, \vec{c}])</math>'''''</del>.<del style="font-weight: bold; text-decoration: none;">''''' Эгер <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(</del>а,<del style="font-weight: bold; text-decoration: none;">'' </del>сүрөт<del style="font-weight: bold; text-decoration: none;">), ал эми</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"><gallery></del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">File</del>:АРАЛАШ КӨБӨЙТҮНДҮ_37.png</div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></gallery></del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (</del>б, сүрөт<del style="font-weight: bold; text-decoration: none;">). Эгер ''<math display="inline">\vec{a}, \vec{b}, \vec{c}</math>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} координа&#0173;таларына ээ болсо, анда ,</del></div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Компланардуу эмес <math> \vec{a}, \vec{b}, \vec{c} </math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline"> V = \pm (\vec{a}, [\vec{b}, \vec{c}]) </math>.</ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Эгер <math> \vec{a}, \vec{b}, \vec{c} </math></ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(а,'' сүрөт), ал эми сол үчүлтүктү түзсө, көлөм ''V'' терс (-) белги м-н алынат (б, сүрөт).</ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Эгер ''<math> \vec{a}, \vec{b}, \vec{c} </math>'' векторлору<br>{X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub>}, { Y<sub>1</sub>, Y<sub>2</sub>, Y<sub>3</sub>}, { Z<sub>1</sub>, Z<sub>2</sub>, Z<sub>3</sub>} </ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">координа&#0173;таларына ээ болсо, анда,</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">''</del><math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\begin{vmatrix} X_1 & X_2 & X_3 </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\begin{vmatrix} X_1 & X_2 & X_3 </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Y_1 & Y_2 & Y_3 </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Y_1 & Y_2 & Y_3 </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Z_1 & Z_2 & Z_3</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Z_1 & Z_2 & Z_3</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math><del style="font-weight: bold; text-decoration: none;">''</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td></tr>
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Kadyrm
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Kadyrm, 16:48, 16 -ноябрь (Жетинин айы) 2022 карата
2022-11-16T16:48:55Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Мурунку версиясы</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">16:48, 16 -ноябрь (Жетинин айы) 2022 -деги абалы</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">1 -сап:</td>
<td colspan="2" class="diff-lineno">1 -сап:</td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0,</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0, же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{b}, \vec{c}, \vec{a}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{b}, \vec{c}, \vec{a}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{c}, \vec{a}, \vec{b}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{c}, \vec{a}, \vec{b}) =</div></td></tr>
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Kadyrm
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Kadyrm, 16:47, 16 -ноябрь (Жетинин айы) 2022 карата
2022-11-16T16:47:01Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Мурунку версиясы</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">16:47, 16 -ноябрь (Жетинин айы) 2022 -деги абалы</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">5 -сап:</td>
<td colspan="2" class="diff-lineno">5 -сап:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{b}, \vec{a}, \vec{c}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{b}, \vec{a}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{a}, \vec{c}, \vec{b}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{a}, \vec{c}, \vec{b}) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>. Компланардуу эмес <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline">V = \pm (\vec{a}, [\vec{b}, \vec{c}])</math>'''''.''''' Эгер <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(а,'' сүрөт), ал эми<del style="font-weight: bold; text-decoration: none;">[[File:АРАЛАШ КӨБӨЙТҮНДҮ_35.png | thumb | Формула 10]]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>. Компланардуу эмес <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline">V = \pm (\vec{a}, [\vec{b}, \vec{c}])</math>'''''.''''' Эгер <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(а,'' сүрөт), ал эми</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><gallery></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><gallery></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l18">18 -сап:</td>
<td colspan="2" class="diff-lineno">18 -сап:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Z_1 & Z_2 & Z_3</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\\ Z_1 & Z_2 & Z_3</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math>''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>\end{vmatrix} </math>''</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br><del style="font-weight: bold; text-decoration: none;">[[File:АРАЛАШ КӨБӨЙТҮНДҮ_38.png | thumb | Формула 11]]</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>''Б. Э. Канетов.''<br></div></td></tr>
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Kadyrm
http://wnu.edu.kg/KyrgWiki/index.php?title=%D0%90%D0%A0%D0%90%D0%9B%D0%90%D0%A8_%D0%9A%D3%A8%D0%91%D3%A8%D0%99%D0%A2%D2%AE%D0%9D%D0%94%D2%AE&diff=28483&oldid=prev
Kadyrm, 16:43, 16 -ноябрь (Жетинин айы) 2022 карата
2022-11-16T16:43:28Z
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<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Мурунку версиясы</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">16:43, 16 -ноябрь (Жетинин айы) 2022 -деги абалы</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">1 -сап:</td>
<td colspan="2" class="diff-lineno">1 -сап:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0,</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''АРАЛАШ КӨБӨЙТҮНДҮ''' – <math display="inline">\vec{a}</math> вектору м-н <math display="inline">\vec{b}</math> ж-а <math display="inline">\vec{c}</math> векторлорунун вектордук көбөйтүндүсүнүн скалярдык көбөйтүндүсү:<math display="inline">(\vec{a}, \vec{b}, \vec{c})</math> = <math display="inline">(\vec{a}, [\vec{b}, \vec{c}])</math>. А. к. төмөнкү касиеттерге ээ: эгер <math display="inline">\vec{a}</math> ''='' 0, же <math display="inline">\vec{b}</math> = 0,</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>же <math display="inline">\vec{c}</math> ''='' 0 же <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору компланардуу болсо <math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math display="inline">(\vec{a}, \vec{b}, \vec{c}) =</div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{b}, \vec{c}, \vec{a}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{b}, \vec{c}, \vec{a}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{c}, \vec{a}, \vec{b}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>(\vec{c}, \vec{a}, \vec{b}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{b}, \vec{a}, \vec{c}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{b}, \vec{a}, \vec{c}) =</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{a}, \vec{c}, \vec{b}) =</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{a}, \vec{c}, \vec{b}) =</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>. Компланардуу эмес <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлорунун А. к-сү ал векторлор аркылуу</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>- (\vec{c}, \vec{b}, \vec{a}), (\vec{a}, \vec{b}, \vec{c}) = 0 </math>. Компланардуу эмес <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлорунун А. к-сү ал векторлор аркылуу тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline">V = \pm (\vec{a}, [\vec{b}, \vec{c}])</math>'''''.''''' Эгер <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(а,'' сүрөт), ал эми[[File:АРАЛАШ КӨБӨЙТҮНДҮ_35.png | thumb | Формула 10]]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>тургузулган оң же терс белгиде алынган параллелепипеддин көлөмүнө барабар: <math display="inline">V = \pm (\vec{a}, [\vec{b}, \vec{c}])</math>'''''.''''' Эгер <math display="inline">\vec{a}, \vec{b}, \vec{c}</math> векторлору оң үчүлтүктү түзсө, анда көлөм ''V'' оң (+) белги м-н ''(а,'' сүрөт), ал эми[[File:АРАЛАШ КӨБӨЙТҮНДҮ_35.png | thumb | Формула 10]]</div></td><td colspan="2"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><gallery></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><gallery></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>File:АРАЛАШ КӨБӨЙТҮНДҮ_36.png</div></td></tr>
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Kadyrm