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

Apr 19, 2016

Answer:

$A X B = 13 i + 5 j + k$

Explanation:

$A = \left[- 1 , 2 , 3\right]$

$B = \left[1 , - 3 , 2\right]$

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

$A X B = i \left(4 + 9\right) - j \left(- 2 - 3\right) + k \left(3 - 2\right)$

$A X B = 13 i + 5 j + k$