# What is the cross product of [0,8,5] and [2, 4, 8] ?

Nov 21, 2016

The cross product is $\left[44 , 10 , - 16\right]$.
Let us consider [0,8,5] as $\vec{A} = 8 \hat{j} + 5 \hat{k}$ and similarly [2,4,8] as $\vec{B} = 2 \hat{i} + 4 \hat{j} + 8 \hat{k}$.
So, the cross product of these two vectors is $\vec{A} \times \vec{B}$,
vecAxxvecB=hati[64-20}-hatj[0-10]+hatk[0-16] =44hati+10hatj-16hatk.
$\therefore$The cross product of $\left[0 , 8 , 5\right]$ and$\left[2 , 4 , 8\right]$ is $\left[44 , 10 , - 16\right]$.