Finding the normal vector with a given plane and point

[miniake]

Homework Statement

Find the vector equation of line in three dimensional space that contains the point
P = (-1,3,0) and is orthogonal to the plane 3x - z = 2.

Homework Equations

The attempt at a solution
can I use the equation of (P-P0)n = 0 , in this question?

Since the only problem is, I don't know how to find the intersection point between the vector and the plane.

Any hints? Thanks.

 

[LCKurtz]

Homework Statement

Find the vector equation of line in three dimensional space that contains the point
P = (-1,3,0) and is orthogonal to the plane 3x - z = 2.

Homework Equations

The attempt at a solution
can I use the equation of (P-P0)n = 0 , in this question?

Since the only problem is, I don't know how to find the intersection point between the vector and the plane.

Any hints? Thanks.

What two things do you need to know to specify the equation of a line? Do you have or can you get these two things from what you are given?