Worked Example

Problem:
Find $\vec{A} \times \vec{B}$

Solution

$$ \vec{A} \times \vec{B} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ 1 & 2 & 3 \\ 4 & 5 & 6 \end{vmatrix} $$

$$ = -3\hat{i} + 6\hat{j} - 3\hat{k} $$