# How do you normalize # (-4i + 0j + 3k)#?

##### 1 Answer

Jan 23, 2016

To normalise a vector we divide each component by the length of the original vector, so the resultant vector is:

#### Explanation:

Normalising a vector means dividing each of its components by its length, to yield a unit vector (a vector 1 unit long) in the same direction.

The length of a 3D vector (a

In this case:

To normalise the vector, then, we divide each component by 5, so the resultant vector is: