Finding the Vector Eqn of a Line

[d=vt+1/2at^2]

Homework Statement

Find the Vector eqn of a line which passes through P(2, -1, 3) and is perpendicular to the plane 3x -2y -z =0.

Homework Equations

Line(x) = P + td where d is a direction vector

The Attempt at a Solution

My main problem here is trying to find the direction vector for the line. I have really no idea how to find that. Any help is greatly appreciated :)

 

[d=vt+1/2at^2]

I think I figured it out...I can use the normal vector of the plane as my direction vector.

 

[HallsofIvy]

Yes, that's exactly right. And that, of course, is just 3i- 2j- k.