# What is the norm or < 4 , 3 , -2 >?

Jul 21, 2016

$\sqrt{29}$

#### Explanation:

In the space ${\mathbb{R}}^{3}$ the most commonly used norm is that it gives the length of the vector. ie

$| \vec{u} | = \sqrt{{u}_{1}^{2} + {u}_{2}^{2} + {u}_{3}^{2}}$

$\vec{u} = \left(4 , 3 , - 2\right)$

$| \vec{u} | = \sqrt{{4}^{2} + {3}^{2} + {\left(- 2\right)}^{2}} = \sqrt{29}$