# What is  || < 9 , 1 , 6 > || ?

Jul 4, 2016

$| | < 9 , 1 , 6 > | | = \sqrt{118}$

#### Explanation:

The general formula for the Euclidean norm of a $3$ dimensional vector is given by the formula:

$| | < u , v , w > | | = \sqrt{{u}^{2} + {v}^{2} + {w}^{2}}$

So in our example:

$| | < 9 , 1 , 6 > | | = \sqrt{{9}^{2} + {1}^{2} + {6}^{2}} = \sqrt{81 + 1 + 36} = \sqrt{118}$