# What is the cross product of <0 ,4 ,1 > and <-5 ,2 ,8 >?

Mar 20, 2018

$< 30 , 5 , 20 >$

#### Explanation:

$\left(a 1 , a 2 , a 3\right) x \left(b 1 , b 2 , b 3\right)$

$a = < 0 , 4 , 1 >$
$b = < - 5 , 2 , 8 >$

$= < \left(a 2 b 3 - a 3 b 2\right) , \left(a 1 b 3 - a 3 b 1\right) , \left(a 1 b 2 - a 2 b 1\right) >$