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Vector Distance: Basic Computation in R^3

LINALG-HLZHXK

If $\boldsymbol{u} = \begin{bmatrix} 5\\\ 2\\\ 2\end{bmatrix}$ and $\boldsymbol{v} = \begin{bmatrix} 3\\\ -1\\\ -2\end{bmatrix}$, then compute the distance between $\boldsymbol{u}$ and $\boldsymbol{v}$.

A

$\sqrt{13}$

B

$2\sqrt{5}$

C

$5$

D

$\sqrt{29}$

E

$\sqrt{30}$

F

$\sqrt{33}$