# What is the cross product of #<-3,0,1># and #<1,2,-4>#?

##### 1 Answer

The cross product of (-3,0,1) and (1,2,-4) is (-2,11,-6).

#### Explanation:

We have two vectors

The cross product can be calculated nicely using matrices.

It is

In the first row we have unit vectors (length 1, along each of the axes) next are coordinates of first vector, and then second vector.

This expression is resulting vector. The formula could be memorized by the people, who don't know matrices yet. Notice how Neither

Plugging values in: