# What is the cross product of <-3,5,8 > and <-9,3,1>?

Mar 5, 2016

$\vec{a} x \vec{b} = - 19 i - 69 j + 36 k$

#### Explanation:

$\vec{a} = < - 3 , 5 , 8 > \text{ } \vec{b} = < - 9 , 3 , 1 >$
$\vec{a} x \vec{b} = i \left(5 - 24\right) - j \left(- 3 + 72\right) + k \left(- 9 + 45\right)$
$\vec{a} x \vec{b} = - 19 i - 69 j + 36 k$