# How do you find the magnitude of <-7, -5>?

Jan 19, 2017

$| < - 7 , - 5 > | = \sqrt{74}$

#### Explanation:

Remember the formula for the magnitude of a vector $\vec{v}$.

$\vec{v} = < x , y > \implies | \vec{v} | = \sqrt{{x}^{2} + {y}^{2}}$

Then we plug in

$| < - 7 , - 5 > | = \sqrt{{\left(- 7\right)}^{2} + {\left(- 5\right)}^{2}} = \sqrt{49 + 25} = \underline{\sqrt{74}}$