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Linear Algebra

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Unit Vector: One Unknown Coordinate

LINALG-VS4Q14

For which real numbers $x$ is $\begin{bmatrix} \frac{1}{2} \\\ \frac{1}{3} \\\ x \end{bmatrix}$ a unit vector?

Select ALL that apply.

A

$\dfrac{\sqrt{23}}{6}$

B

$\dfrac{25}{6}$

C

$-\dfrac{\sqrt{23}}{6}$

D

$-\dfrac{5}{6}$

E

$\dfrac{1}{6}$

F

$-\dfrac{1}{6}$