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 a96a456df..27950e4f2 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
@@ -513,13 +513,14 @@ $`(\vec{e_1},\vec{e_2},...,\vec{e_n})`$ est une base orthonormée
$`\displaystyle\quad\forall \overrightarrow{U}\in\mathcal{P}\quad \overrightarrow{U}=\sum_{i=1}^n\;U_i\cdot\vec{e_i}`$
$`\displaystyle\quad\forall \overrightarrow{V}\in\mathcal{P}\quad \overrightarrow{V}=\sum_{i=1}^n\;V_i\cdot\vec{e_i}`$
-* For the expression of a vector $`\vec{U}`$ in the base $`(\vec{e_1},\vec{e_2},...,\vec{e_n})`$,
-we should use (?) (http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=102-03-04) :
-$`\overrightarrow{U}=\left(\begin{array}{l}U_1\\U_2\\U_3)\end{array}\right)`$
-instead of $`\overrightarrow{U}=\left|\begin{array}{l}U_1\\U_2\\U_3)\end{array}\right.`$
-
-* méthode des produits en croix :
-
+* [FR] For the expression of a vector $`\vec{U}`$ in the base $`(\vec{e_1},\vec{e_2},...,\vec{e_n})`$,
+we shouldn't we use (http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=102-03-04) :
+$`\overrightarrow{U}=\left(\begin{array}{l}U_1\\U_2\\U_3\end{array}\right)`
+$`\displaystyle\overrightarrow{U}=\left(\begin{array}{l}U_1\\U_2\\U_3\end{array}\right)`$
+instead of $`\overrightarrow{U}=\left|\begin{array}{l}U_1\\U_2\\U_3\end{array}\right.`$ as we do at INSA ?
+
+* [ES]
+[FR] méthode des produits en croix :
$`\forall\overrightarrow{U}=\left(\begin{array}{l}U_1\\U_2\\U_3)\end{array}\right)`$ et
$`\forall\overrightarrow{V}=\left(\begin{array}{l}U_1\\U_2\\U_3)\end{array}\right)`$
$`$`\vec{U}\land\vec{V}=`$