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Linear Algebra

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Moderate

Vector Distance: Solving Equations Involving Vector Distance

LINALG-GKKERI

Find $x$ such that the distance between $\begin{bmatrix} x\\\ x\\\ -x\end{bmatrix}$ and $\begin{bmatrix} 1\\\ 2\\\ 1\end{bmatrix}$ is $\sqrt{5}$.

Select ALL that apply.

A

$0$

B

$1$

C

$\dfrac{1}{2}$

D

$\cfrac{1}{3}$

E

$\dfrac{1}{4}$

F

$\dfrac{1}{5}$