Question

What is the cross product of `[2, 1, -4]` and `[3, 2, 5]`?

Answer 1

`(13,-22,1)`

Explanation:

By definition, the vector cross product of these two 3-dimensional vectors in `RR^3` may be given by the following matrix determinant :

`(2,1,-4)xx(3,2,5)=|(hati,hatj,hatk),(2,1,-4),(3,2,5)|`

`=hati(5+8)-hatj(10+12)+hatk(4-3)`

`=13hati-22hatj+hatk`

`=(13,-22,1)`