# How do you find the magnitude of YZ given Y(-5,7) and Z(-1,2)?

Jul 7, 2017

$| \vec{Y Z} | = \sqrt{41}$

#### Explanation:

$\text{the magnitude of a vector " ulv=((x),(y))" is}$

$| \underline{v} | = \sqrt{{x}^{2} + {y}^{2}}$

$\vec{Y Z} = \underline{z} - \underline{y} = \left(\begin{matrix}- 1 \\ 2\end{matrix}\right) - \left(\begin{matrix}- 5 \\ 7\end{matrix}\right) = \left(\begin{matrix}4 \\ - 5\end{matrix}\right)$

$\Rightarrow | \vec{Y Z} | = \sqrt{{4}^{2} + {\left(- 5\right)}^{2}} = \sqrt{41}$