# What is  || < -3, -3, 0 > || ?

Jan 31, 2016

$\sqrt{18}$

#### Explanation:

For any n-dimensional vector $A = \left({a}_{1} , {a}_{2} , \ldots , {a}_{n}\right)$, the norm of the vector is given by ||A||=sqrt(a_1^2+a_2^2+...+a_n^2.

So in this particular case we work in ${\mathbb{R}}^{3}$ and get

|| ( (-3, -3, 0)) ||=sqrt((-3)^2+(-3)^2+0^2

$= \sqrt{18}$