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@ -629,7 +629,7 @@ $`\displaystyle\quad\forall \overrightarrow{V}\in\mathcal{P}\quad \overrightarro |
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[FR] For the expression of a vector $`\vec{U}`$ in the base $`(\vec{e_1},\vec{e_2},...,\vec{e_n})`$, |
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we shouldn't we use (http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=102-03-04) : <br> |
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$`\overrightarrow{U}=\begin{pmatrix}U_1\\U_2\\U_3\end{pmatrix}`$ or $`\overrightarrow{U}=\begin{bmatrix}U_1\\U_2\\U_3\end{bmatrix}`$ |
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$`\overrightarrow{U}=\begin{pmatrix}U_1\\U_2\\U_3\end{pmatrix}`$ |
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instead of $`\overrightarrow{U}=\left|\begin{array}{l}U_1\\U_2\\U_3\end{array}\right.`$ as we do at INSA ? |
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[ES] ... |
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@ -641,7 +641,7 @@ instead of $`\overrightarrow{U}=\left|\begin{array}{l}U_1\\U_2\\U_3\end{array}\r |
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$`\forall\overrightarrow{U}=\begin{pmatrix}U_1\\U_2\\U_3\end{pmatrix}`$ |
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$`\quad\forall\overrightarrow{V}=\begin{pmatrix}U_1\\U_2\\U_3\end{pmatrix}`$ |
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$`\quad\vec{U}\land\vec{V}=\begin{pmatrix}U_1\\U_2\\U_3\end{pmatrix}\land\begin{pmatrix}V_1\\V_2\\V_3\end{pmatrix}`$ |
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$`\begin{pmatrix}U_2 V_3 - U_3 V_2\\U_3 V_1 - U_1 V_3\\U_1 V_2 - U_2 V_1\end{pmatrix}`$ |
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$`=\begin{pmatrix}U_2 V_3 - U_3 V_2\\U_3 V_1 - U_1 V_3\\U_1 V_2 - U_2 V_1\end{pmatrix}`$ |
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$`=U_1V_2\,\overrightarrow{e_3}+U_2V_3\,\overrightarrow{e_1}+U_3V_1\,\overrightarrow{e_2}`$ |
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$`-\,U_1V_3\,\overrightarrow{e_2}-U_2V_1\,\overrightarrow{e_3}-U_3V_2\,\overrightarrow{e_1}`$ |
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