Module 2: Now You Try IV

Compute

$LaTeX: \begin{pmatrix} 0 \\ 3 \\ -2 \end{pmatrix} \times \begin{pmatrix} -1 \\ 1 \\ 2 \end{pmatrix}.$ $\begin{pmatrix} 0 \\ 3 \\ -2 \end{pmatrix} \times \begin{pmatrix} -1 \\ 1 \\ 2 \end{pmatrix}.$

Solution:

▶ Show

$LaTeX: \begin{pmatrix} 8 \\ 2 \\ 3 \end{pmatrix}$

$\begin{pmatrix} 8 \\ 2 \\ 3 \end{pmatrix}$
Note that in this exercise, we switched the order of the cross product in the example. The result is the negative! So the cross product is NOT commutative (in fact, it is anticommuative).