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@ -523,13 +523,14 @@ c |
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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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$`\quad\begin{pmatrix}U_2 V_3 - U_3 V_2\\U_3 V_1 - U_1 V_3\\U_1 V_2 - U_2 V_1\end{pmatrix}`$ |
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$`\quad=±,\begin{pmatrix}U_2 V_3 - U_3 V_2\\U_3 V_1 - U_1 V_3\\U_1 V_2 - U_2 V_1\end{pmatrix}`$ |
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* [ES] <br> |
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[FR] <br> |
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[EN] method similar to the sum used to obtain the determinant of a matrix :<br> |
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<br>$`\vec{U}\land\vec{V}=\begin{vmatrix} \overrightarrow{e_1}&\overrightarrow{e_2}&\overrightarrow{e_3}\\ |
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U_1 & U_2 & U_3\\V_1 & V_2 & V_3\end{vmatrix}`$ |
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$`=U_1V_1\overrightarrow{e_3}+U_2V_3\overrightarrow{e_1}+U_2V_3\overrightarrow{e_1}`$ |
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