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Linear Algebra

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Vector Distance: When the Third Coordinate Agrees

LINALG-S83SC1

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

A

$\sqrt{6}$

B

$\sqrt{7}$

C

$2\sqrt{2}$

D

$3$

E

$\sqrt{5}$

F

$2$