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Multivariable Calculus

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Moderate

Distance from Line

MVCALC-7JOENR

What is the best approximation for the distance between the point $Q=(3,6,-2)$ and the line $L$ whose parametric equations are:

$$x=1+t$$
$$y=2-3t$$
$$z=5+2t $$

A

$\sqrt{13}$

B

$\sqrt{69}$

C

The point $Q$ is contained in $L$, so its distance from $L$ is zero

D

$5$

E

$5.28$