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Linear Algebra

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Vector Distance: When the Second Coordinate Agrees

LINALG-Y98HLL

If $\boldsymbol{u} = \begin{bmatrix} 4\\\ 1\\\ -2\end{bmatrix}$ and $\boldsymbol{v} = \begin{bmatrix} -2\\\ 1\\\ -1\end{bmatrix}$, then compute the distance between $\boldsymbol{u}$ and $\boldsymbol{v}$.

A

$6$

B

$\sqrt{37}$

C

$\sqrt{6}$

D

$\sqrt{21}$

E

$\sqrt{17}$

F

$4$