# How do you find the component form and magnitude of the vector v given initial point (-3,11) and terminal point (9,40)?

$\underline{v} = \left(\begin{matrix}12 \\ 29\end{matrix}\right) , | \underline{v} | \approx 31.38$
$\underline{v} = \left(\begin{matrix}9 \\ 40\end{matrix}\right) - \left(\begin{matrix}- 3 \\ 11\end{matrix}\right) = \left(\begin{matrix}12 \\ 29\end{matrix}\right)$
$| \underline{v} | = \sqrt{{12}^{2} + {29}^{2}} \approx 31.38$