What is the cross product of #(- 5 i + 4 j - 5 k)# and #(4 i + 4 j + 2 k)#?
If we call the first vector
Sal Khan of Khan academy does a nice job of calculating a cross product in this video: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/linear-algebra-cross-product-introduction
It's something that's easier to do visually, but I'll try to do it justice here:
We can refer to the coefficient of
Sal's video above and the Wikipedia article on the cross product will do a better job of explaining why the next step is as follows than I can here: