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Linear Algebra

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Moderate

Vector Distance: Distance with Unknown Coordinates

LINALG-EEXZ2N

Find $x$ such that the distance between $\begin{bmatrix} x+2\\\ x\\\ 0\end{bmatrix}$ and $\begin{bmatrix} 2\\\ 1\\\ x\end{bmatrix}$ is $\sqrt{6}$.

Select ALL that apply.

A

$1$

B

$-1$

C

$-\dfrac{3}{5}$

D

$-\dfrac{5}{3}$

E

$-\dfrac{5}{3}$

F

$\dfrac{3}{5}$