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## Homework Statement

(2 part problem) a) A plane passes through the point P(3,1,4) and is orthogona to the line (x-1)/2 = (2-y)/-7 = z-3

b) Find the point on the line closest to point (3,1,4)

## Homework Equations

Symmetric equation --> (x-x

_{1})/t = (y-y

_{1})/t = (z-z

_{1})/t ( anyway i think that's what it is

## The Attempt at a Solution

I found the equation of the plane using the direction vector as (2,-7,1)

and used this form 2(x-3)-7(y-1)+(z-4)= 0

I can't seem to be able to go on to start b. I would think of plugging P in but that seems way too easy.

Any idea on how I can approach this?