# What is the norm of < 8 ,-2 , 5 >?

Jan 27, 2016

$\left\mid \left\mid < 8 , - 2 , 5 > \right\mid \right\mid = \sqrt{93} \approx 9.643650761$

#### Explanation:

In general:

$\left\mid \left\mid < a , b , c > \right\mid \right\mid = \sqrt{{a}^{2} + {b}^{2} + {c}^{2}}$

So in our example:

$\left\mid \left\mid < 8 , - 2 , 5 > \right\mid \right\mid = \sqrt{{8}^{2} + {\left(- 2\right)}^{2} + {5}^{2}}$

$= \sqrt{64 + 4 + 25} = \sqrt{93} \approx 9.643650761$