From 624a375943ed25f71250042df53aa8d331c5ce01 Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Tue, 18 Aug 2020 17:28:58 +0200 Subject: [PATCH] Update textbook.fr.md --- .../05.classical-mechanics/vector-analysis/textbook.fr.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) 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 dac9c2726..3e8f7c974 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 @@ -418,7 +418,11 @@ $`\displaystyle\quad\overrightarrow{U}\cdot\overrightarrow{V}=U_1\,V_1 + U_2\,V_ $`\begin{array}{l}\left.\overrightarrow{U}\cdot\overrightarrow{V}=||\overrightarrow{U}||\cdot||\overrightarrow{V}||\cdot cos (\widehat{\overrightarrow{U},\overrightarrow{V}})// -\overrightarrow{U}\cdot\overrightarrow{V}=U_1\,V_1 + U_2\,V_2 + U_3\,V_3\right|end{array}\quad\Longrightarrow`$ +\overrightarrow{U}\cdot\overrightarrow{V}=U_1\,V_1 + U_2\,V_2 + U_3\,V_3\right|end{array}`$ + + + +$`\quad\Longrightarrow`$ $`\quad cos (\widehat{\overrightarrow{U},\overrightarrow{V}})=\dfrac{U_1\,V_1 + U_2\,V_2 + U_3\,V_3}{||\overrightarrow{U}||\cdot||\overrightarrow{V}||}`$ $`\quad \widehat{\overrightarrow{U},\overrightarrow{V}}= arcos\left(\dfrac{U_1\,V_1 + U_2\,V_2 + U_3\,V_3} {||\overrightarrow{U}||\cdot||\overrightarrow{V}||}\right)`$