Linear Algebra

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Moderate

Parallelogram Law and Right Triangles

LINALG-EF4XYQ

Let $\vec v$ and $\vec w$ be two vectors which form the legs of a right triangle with side lengths $5$, $12$, and $13$.

Find $\lVert v+w\rVert$.

A

$12$

B

$13$

C

$30$

D

$144$

E

$169$