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Linear Algebra

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Vector Distance: Basic Vector Distance in R^3

LINALG-EE08I3

If $\boldsymbol{u} = \begin{bmatrix} -1\\\ -1\\\ 3\end{bmatrix}$ and $\boldsymbol{v} = \begin{bmatrix} 0\\\ -5\\\ 3\end{bmatrix}$, then compute the distance between $\boldsymbol{u}$ and $\boldsymbol{v}$.

A

$\sqrt{17}$

B

$4$

C

$3\sqrt{2}$

D

$\sqrt{14}$

E

$\sqrt{15}$

F

$\sqrt{34}$