# What is the unit vector that is orthogonal to the plane containing # (8i + 12j + 14k) # and # (3i – 4j + 4k) #?

##### 1 Answer

Jan 20, 2016

Use the cross product to find the vector

#### Explanation:

let

cross product

Simplify to get the Orthogonal vector.

To calculate the unit vector find:

where: