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Update textbook.fr.md

keep-around/96a95ae214a100361e82ba1589359def8f634ce8
Claude Meny 5 years ago
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96a95ae214
  1. 6
      00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md

6
00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md

@ -284,9 +284,9 @@ $`\quad\overrightarrow{U}\cdot(\overrightarrow{V}+\overrightarrow{W})=\overright
$`\forall \overrightarrow{U}\in\mathcal{P}\quad\overrightarrow{U}=U_a\cdot\overrightarrow{a}+U_b\cdot\overrightarrow{b}`$<br>
$`\forall \overrightarrow{V}\in\mathcal{P}\quad\overrightarrow{V}=V_a\cdot\overrightarrow{a}+V_b\cdot\overrightarrow{b}`$<br>
$`\overrightarrow{U}\cdot\overrightarrow{V}=(U_a\cdot\overrightarrow{a}+U_b\cdot\overrightarrow{b})\cdot (V_a\cdot\overrightarrow{a}+V_b\cdot\overrightarrow{b})`$<br>
$` = U_a^2\,(\overrightarrow{a}\cdot\overrightarrow{a})+U_a\,V_b\,(\overrightarrow{a}\cdot \overrightarrow{b})`$
$`+U_b\,V_a\,(\overrightarrow{b}\cdot \overrightarrow{a})+V_b^2\,(\overrightarrow{b}\cdot\overrightarrow{b})`$<br>
$`= U_a^2\,\overrightarrow{a}^2 + V_b^2\,\overrightarrow{b}^2 + (U_a\,V_a+U_b\,V_a)\,(\overrightarrow{a}\cdot \overrightarrow{b})`$
$` = U_a\,V_a\,(\overrightarrow{a}\cdot\overrightarrow{a})+U_a\,V_b\,(\overrightarrow{a}\cdot \overrightarrow{b})`$
$`+U_b\,V_a\,(\overrightarrow{b}\cdot \overrightarrow{a})+U_b\,V_b\,(\overrightarrow{b}\cdot\overrightarrow{b})`$<br>
$`= U_a\,V_a\,\overrightarrow{a}^2 + U_b\,V_b\,\overrightarrow{b}^2 + (U_a\,V_a+U_b\,V_a)\,(\overrightarrow{a}\cdot \overrightarrow{b})`$
##### Norma de un vector / norme d'un vecteur / ...

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