# What is the cross product of <5, -3,1 > and <-2 ,2 ,3 >?

$a x b = - 11 i - 17 j + 4 k$
$a x b = i \left(- 9 - 2\right) - j \left(15 + 2\right) + k \left(10 - 6\right)$
$a x b = - 11 i - 17 j + 4 k$