# If Vector a= 2i - 4j + k and Vector b= -4i + j +2k how do you find a unit vector perpendicular to both vector a and b?

##### 1 Answer

Nov 2, 2016

Please see the explanation.

#### Explanation:

Given:

A vector perpendicular to any two vectors is found by computing the cross-product:

We can multiply by the scalar -1 and still have a perpendicular vector:

To obtain a unit vector, divide by the magnitude:

A unit vector perpendicular to both vectors is: