Question

What is the cross product of `[-1, -1, 2]` and `[3, 2, 5]`?

Answer 1

`-9hati+11hatj+hatk`

Explanation:

This algebraic cross product of two 3-dimensional vectors may be calculated by a matrix determinant as follows :

`(-1,-1,2)xx(3,2,5)=|(hati,hatj,hatk),(-1,-1,2),(3,2,5)|`

`=hati(-5-4)-hatj(-5-6)+hatk(-2+3)`

`=-9hati+11hatj+hatk`