From 251e1b8d1f1ab53ac8c02e1537d848f5a91ece08 Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Thu, 13 Aug 2020 10:27:22 +0200 Subject: [PATCH] Update textbook.fr.md --- .../vector-analysis/textbook.fr.md | 20 ++++--------------- 1 file changed, 4 insertions(+), 16 deletions(-) diff --git a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md index 50f33622b..1ffcd6f65 100644 --- a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md +++ b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md @@ -297,25 +297,13 @@ $`\overrightarrow{U}`$ et $`\overrightarrow{V}`$ sont colinéaires $`\quad\Longrightarrow\quad ...`$ $`\overrightarrow{U}`$ et $`\overrightarrow{V}`$ sont colinéaires -$`\;\Longrightarrow\left|\begin{array}{l}\overrightarrow{U}\cdot\overrightarrow{V}=+||\overrightarrow{U}||\cdot -||\overrightarrow{V}||\text{si}\,\widehat{\overrightarrow{U},\overrightarrow{V}}=0 +$`\;\Longrightarrow\left|\begin{array}{l}\overrightarrow{U}\cdot\overrightarrow{V}=+\;||\overrightarrow{U}||\cdot +||\overrightarrow{V}||\;\text{si}\,\widehat{\overrightarrow{U},\overrightarrow{V}}=0 \\ \, \\ - \overrightarrow{U}\cdot\overrightarrow{V}=-||\overrightarrow{U}||\cdot||\overrightarrow{V}|| - \text{si}\, \widehat{\overrightarrow{U},\overrightarrow{V}}=\pi\end{array}\right.`$ + \overrightarrow{U}\cdot\overrightarrow{V}=-\;||\overrightarrow{U}||\cdot||\overrightarrow{V}|| + \;\text{si}\, \widehat{\overrightarrow{U},\overrightarrow{V}}=\pi\end{array}\right.`$ - $`\overrightarrow{U}`$ et $`\overrightarrow{V}`$ sont colinéaires -$`\;\Longrightarrow\left|\overrightarrow{U}\cdot\overrightarrow{V}=+||\overrightarrow{U}||\cdot -||\overrightarrow{V}|| \\ - \overrightarrow{U}\cdot\overrightarrow{V}=-||\overrightarrow{U}||\cdot||\overrightarrow{V}|| -\right.`$ - -$` \underline{\overrightarrow{B}}^{\,0}_{\,ref}=\left|\begin{array}{l} +\,B_{ref}^0\,cos\,\theta_{ref} -\\ :, -\\ +\,B_{ref}^0\,sin\,\theta_{ref} \end{array}\right.\quad , \quad `$ - -$` \underline{\overrightarrow{B}}^{\,0}_{\,trans}=\left|\begin{array}{l} -\,B_{trans}^0\,cos\,\theta_{trans} \\ 0 -\\ +\,B_{trans}^0\,sin\,\theta_{trans} \end{array}\right. `$ , ##### Producto escalar de dos vectores ortogonales /Produit scalaire de 2 vecteurs orthogonaux /