# How do you normalize #<0, 1, 3>#?

##### 1 Answer

Aug 7, 2017

#### Explanation:

**Normalization** of a vector is the process of finding a **unit vector** in the *same direction of that vector* (with magnitude (or "norm")

#ulbar(|stackrel(" ")(" "hatv = (vecv)/(||vecv||)" ")|)#

where

#hatv# denotes theunit vector

#||vecv||# is themagnitudeof vector#vecv#

The **magnitude** of

#||vecv|| = sqrt(0^2 + 1^2 + 3^2) = color(red)(ul(sqrt10#

Thus, we have

#hatv = (< 0,1,3 >)/(color(red)(sqrt10)) = color(blue)(ulbar(|stackrel(" ")(" "< 0, 1/(sqrt10), 3/(sqrt10) >" ")|)#