diff --git a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/10.mathematical-tools/10.vector-analysis/main/textbook.fr.md b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/10.mathematical-tools/10.vector-analysis/main/textbook.fr.md
index 27d730ae5..674508c38 100644
--- a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/10.mathematical-tools/10.vector-analysis/main/textbook.fr.md
+++ b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/10.mathematical-tools/10.vector-analysis/main/textbook.fr.md
@@ -441,8 +441,8 @@ $`\vec{a_1},\vec{a_2},...,\vec{a_n}`$.
 [ES]
 
 [FR]"$`(\vec{a_1},\vec{a_2},...,\vec{a_n})`$ est une base de $`\mathcal{E}`$"$`
-\quad\Longrightarrow \quad\forall \overrightarrow{V}\in\mathcal{E}`$$`\quad\exists ! (\alpha_1,\alpha_1,...;\alpha_1)\in\mathbb{R}^n`$$`\quad
-\overrightarrow{V}=\alpha_1\cdot\overrightarrow{a_1}+\alpha_2\cdot\overrightarrow{a_2}+...+\alpha_n\cdot\overrightarrow{a_n}`$
+\quad\Longrightarrow \quad\forall \overrightarrow{V}\in\mathcal{E}`$$`\quad\exists ! (\alpha_1,\alpha_1,...;\alpha_1)\in\mathbb{R}^n`$
+$`\quad \overrightarrow{V}=\alpha_1\cdot\overrightarrow{a_1}+\alpha_2\cdot\overrightarrow{a_2}+...+\alpha_n\cdot\overrightarrow{a_n}`$
 
 [EN]