From ed189d056dda92ac9a1eb40123fa4183dde12118 Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Sun, 30 Aug 2020 18:16:16 +0200 Subject: [PATCH] Update textbook.fr.md --- .../04.reference-frames-coordinate-systems/textbook.fr.md | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md index 78dfb8b85..4aea3a6f4 100644 --- a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md +++ b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/04.reference-frames-coordinate-systems/textbook.fr.md @@ -256,9 +256,7 @@ $`=dx\;\overrightarrow{e_x}+dy\;\overrightarrow{e_y}+dz\;\overrightarrow{e_z}`$<
$`||\overrightarrow{dl}||=\sqrt{\overrightarrow{dl}\cdot\overrightarrow{dl}}`$ $`=\sqrt{(dl_x\;\overrightarrow{e_x}+dl_y\;\overrightarrow{e_y}+dl_z\;\overrightarrow{e_z})\cdot (dl_x\;\overrightarrow{e_x}+dl_y\;\overrightarrow{e_y}+dl_z\;\overrightarrow{e_z})}`$ -$`=\sqrt{dl_x^2\;(\overrightarrow{e_x}\cdot\overrightarrow{e_x}) -+dl_y^2\;(\overrightarrow{e_y}\cdot\overrightarrow{e_y}) -+dl_z^2\;(\overrightarrow{e_z}\cdot\overrightarrow{e_z})`$ +$`=\sqrt{dl_x^2\;(\overrightarrow{e_x}\cdot\overrightarrow{e_x})+dl_y^2\;(\overrightarrow{e_y}\cdot\overrightarrow{e_y}) +dl_z^2\;(\overrightarrow{e_z}\cdot\overrightarrow{e_z})`$ $`+2\,dl_x\,dl_y\,x(\overrightarrow{e_x}\cdot\overrightarrow{e_y})`$ $`+2\,dl_x\,dl_z\,x(\overrightarrow{e_x}\cdot\overrightarrow{e_z})`$ $`+2\,dl_y\,dl_z\,x(\overrightarrow{e_y}\cdot\overrightarrow{e_z})}`$