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

$\vec{a} x \vec{b} = 2 j + k$
$\vec{a} = < 1 , 2 , - 4 > \text{ } \vec{b} = < - 1 , - 1 , 2 >$
$\vec{a} x \vec{b} = i \left(4 - 4\right) - j \left(2 - 4\right) + k \left(- 1 + 2\right)$
$\vec{a} x \vec{b} = 2 j + k$