Linear Algebra

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Moderate

Vector Distance: Equation Involving Vector Distance

LINALG-JGI2ZX

Find $x$ such that the distance between $\begin{bmatrix} x\\\ 0\\\ -x\end{bmatrix}$ and $\begin{bmatrix} 1\\\ 2\\\ 3\end{bmatrix}$ is $2\sqrt{3}$.

Select ALL that apply.

A

$-1$

B

$1$

C

$\dfrac{1}{2}$

D

$-\dfrac{1}{2}$

E

$2$

F

$-2$