# What is the unit vector that is orthogonal to the plane containing # (8i + 12j + 14k) # and # (2i+j+2k) #?

##### 1 Answer

Aug 6, 2016

Two steps are required:

- Take the cross product of the two vectors.
- Normalise that resultant vector to make it a unit vector (length of 1).

The unit vector, then, is given by:

#### Explanation:

- The cross product is given by:

- To normalise a vector, find its length and divide each coefficient by that length.

The unit vector, then, is given by: