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Linear Algebra

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Vector Distance: Distance in Three Coordinates

LINALG-HEIEXH

If $\boldsymbol{u} = \begin{bmatrix} -2\\\ 1\\\ -1\end{bmatrix}$ and $\boldsymbol{v} = \begin{bmatrix} 2\\\ 0\\\ -1\end{bmatrix}$, then compute the distance between $\boldsymbol{u}$ and $\boldsymbol{v}$.

A

$\sqrt{17}$

B

$4$

C

$3\sqrt{2}$

D

$\sqrt{14}$

E

$\sqrt{6}$

F

$\sqrt{5}$