Question

What is the cross product of `[3,2, 5]` and `[0,8,5]`?

Answer 1

`=-30hati-15hatj+24hatk`

Explanation:

In 3 dimensions, as these vectors are, we may use a determinant of a matrix system as follows to evaluate the cross product :

`(3,2,5)xx(0,8,5)=|(hati,hatj,hatk),(3,2,5),(0,8,5)|`

`=(10-40)hati-(15-0)hatj+(24-0)hatk`

`=-30hati-15hatj+24hatk`