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Linear Algebra

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Vector Distance: Basic Computation in Three Dimensions

LINALG-LHGGLG

If $\boldsymbol{u} = \begin{bmatrix} 5\\\ 4\\\ 3\end{bmatrix}$ and $\boldsymbol{v} = \begin{bmatrix} 1\\\ 0\\\ -1\end{bmatrix}$, then compute the distance between $\boldsymbol{u}$ and $\boldsymbol{v}$.

A

$2\sqrt{3}$

B

$3\sqrt{3}$

C

$4\sqrt{3}$

D

$5\sqrt{2}$

E

$6\sqrt{2}$

F

$7\sqrt{2}$