Cross in Matrix

[Han]

cross() takes two vectors and computes the cross product; one way to do this is to compute the determinant of the matrix you described. So if you already have the matrix, you want to use the det() command

So either use:

cross([2,3,1],[1,2,3]) to get [7 -5 1] or use
\[ \mathrm{det}\left( \left[
\begin{array}{rrr}
i & j & k \\
2 & 3 & 1\\
1 & 2 & 3
\end{array}
\right] \right) \]
to get \( 7\vec{i} - 5\vec{j}+\vec{k}\)