# What is the cross product of [9,4,-1] and [4,3,6] ?

Mar 11, 2016

$A X B = 27 \hat{i} - 58 \hat{j} + 11 \hat{j}$
$A = < 9 , 4 , - 1 > \text{ } B = < 4 , 3 , 6 >$
$A X B = \hat{i} \left(4 \cdot 6 + 3 \cdot 1\right) - \hat{j} \left(9 \cdot 6 + 4 \cdot 1\right) + \hat{k} \left(9 \cdot 3 - 4 \cdot 4\right)$
$A X B = 27 \hat{i} - 58 \hat{j} + 11 \hat{k}$