# What is the cross product of [4,-3,2] and [-1,-1,2] ?

The cross product is $\vec{a} X \vec{b} = \left(\vec{i} \left(- 6 + 2\right) , - \vec{j} \left(8 + 2\right) , \vec{k} \left(- 4 - 3\right)\right) = \left(- 4 \vec{i} , - 10 \vec{j} , - 7 \vec{k}\right)$