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## Homework Statement

Find the equation of the line through the point (-5,-4,2) that intersects the line at r = (7,-13,8) +t(1,2,-2) at 90 degrees.

## Homework Equations

I guess that using the dot product for the direction vector of the line needed, (x,y,z) , with the direction of the given line will = 0. Then i get lost as to what I should be doing afterwards, in incorporating the point given with the variables that result from the dot product.

## The Attempt at a Solution

So i did (x,y,z) dot (1,2,-2) to get x +2y -2z = 0

at this point, i'm not sure where to do.

Btw, the answer is r = (-5,-4,2) +t(14,-5,2).