# What is the cross product of (- 5 i + 4 j - 5 k) and (- 4 i - 5 j + 2 k)?

Mar 2, 2016

$\vec{a} x \vec{b} = - 17 i + 30 j + 41 k$

#### Explanation:

$\vec{a} x \vec{b} = i \left(8 - 25\right) - j \left(- 10 - 20\right) + k \left(25 + 16\right)$
$\vec{a} x \vec{b} = - 17 i + 30 j + 41 k$