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Linear Algebra

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Vector Distance: Distance in Euclidean 3-space

LINALG-KZ8VHZ

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

A

$3$

B

$2\sqrt{2}$

C

$1$

D

$\sqrt{6}$

E

$2\sqrt{3}$

F

$\sqrt{11}$