TeX Quellcode:

\begin{matrix}\vec{e}^{\,T} \cdot \left(\vec{f} \times \vec{g}\right) &=& \begin{pmatrix}-12;\,2;\,-3\end{pmatrix} \cdot \left(\begin{pmatrix}7\cr-9\cr-9\end{pmatrix} \times \begin{pmatrix}-6\cr-10\cr-14\end{pmatrix}\right) \cr \cr &=& \begin{pmatrix}-12;\,2;\,-3\end{pmatrix} \cdot \begin{pmatrix}-9 \cdot (-14) &-& (-9) \cdot (-10) \cr -9 \cdot (-6) &-& 7 \cdot (-14) \cr 7 \cdot (-10) &-& (-9) \cdot (-6)\end{pmatrix} \cr \cr &=& \begin{pmatrix}-12;\,2;\,-3\end{pmatrix} \cdot \begin{pmatrix}36\cr152\cr-124\end{pmatrix} \cr \cr &=& -12 \cdot 36 + 2\cdot 152 + \left(-3\right) \cdot \left(-124\right) &=& 244\end{matrix}