# What is the unit vector that is orthogonal to the plane containing # <3, -6, 2> # and # <1, 1, 1> #?

##### 1 Answer

Jan 7, 2016

#### Explanation:

First take the cross product of both the vectors. Let's say

The cross product of 2 vectors can be seen as the calculus of 3 determinants, and the vector you will create with the cross product is always orthogonal to the 2 first vectors, that's why we have to begin with it.

Now that we have