What is the cross product of <-2, 5 ,-2 > and <-1, -9 ,2 >?

Nov 18, 2016

$< - 2 , 5 , - 2 > \times < - 1 , - 9 , 2 > = < - 8 , 6 , 23 >$

Explanation:

$< - 2 , 5 , - 2 > \times < - 1 , - 9 , 2 > =$

| (hati, hatj, hatk, hati, hatj), (-2, 5, -2, -2, 5), (-1, -9, 2, -1, -9) | =

$\left\{\left(5\right) \left(2\right) - \left(- 2\right) \left(- 9\right)\right\} \hat{i} + \left\{\left(- 2\right) \left(- 1\right) - \left(- 2\right) \left(2\right)\right\} \hat{j} + \left\{\left(- 2\right) \left(- 9\right) - \left(5\right) \left(- 1\right)\right\} \hat{k} =$

$- 8 \hat{i} + 6 \hat{j} + 23 \hat{k} = < - 8 , 6 , 23 >$