# What is the unit vector that is normal to the plane containing <1,1,1> and <2,0,-1>?

##### 1 Answer

Nov 8, 2016

The unit vector is

#### Explanation:

You must do the cross product of the two vectors to obtain a vector perpendicular to the plane:

The cross product is the deteminant of

We check by doing the dot products.

As the dots products are

The unit vector is