What is the cross product of [2,-1,2] and [1,-1,3] ?

Mar 28, 2016

$A X B = - i - 4 j - k$

Explanation:

$A = \left[2 , - 1 , 2\right]$
$B = \left[1 , - 1 , 3\right]$
$A X B = i \left(- 1 \cdot 3 + 2 \cdot 1\right) - j \left(2 \cdot 3 - 2 \cdot 1\right) + k \left(2 \cdot \left(- 1\right) + 1 \cdot 1\right)$

$A X B = i \left(- 3 + 2\right) - j \left(6 - 2\right) + k \left(- 2 + 1\right)$

$A X B = - i - 4 j - k$