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Update textbook.fr.md

keep-around/aee502d157c27215c04d28fde67b140bb80532bd
Claude Meny 5 years ago
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aee502d157
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      00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md

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

@ -286,7 +286,11 @@ $`\forall \overrightarrow{V}\in\mathcal{P}\quad\overrightarrow{V}=V_a\cdot\overr
$`\overrightarrow{U}\cdot\overrightarrow{V}=(U_a\cdot\overrightarrow{a}+U_b\cdot\overrightarrow{b})\cdot (V_a\cdot\overrightarrow{a}+V_b\cdot\overrightarrow{b})`$<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>
$`\quad = U_a^2\,\overrightarrow{a}^2 + V_b^2\,\overrightarrow{b}^2 + (U_a\,V_a+U_b\,V_a)\,(\overrightarrow{a}\cdot \overrightarrow{b})`$
$`= U_a^2\,\overrightarrow{a}^2 + V_b^2\,\overrightarrow{b}^2 + (U_a\,V_a+U_b\,V_a)\,(\overrightarrow{a}\cdot \overrightarrow{b})`$
##### Norma de un vector / norme d'un vecteur / ...
$`||\overrightarrow{U}||=\sqrt{\overrightarrow{U}\cdot\overrightarrow{U}}=\overrightarrow{U}^{\dfrac{1}{2}}`$
##### Vector unitario / Vecteur unitaire /

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