# Math Help - Parametric Equation parallel to Plane

1. ## Parametric Equation parallel to Plane

Hey, I'm having trouble finding out if this parametric equation; [x,y,z] = {5-t},{-3+2t},{-1-5t} is parallel to the plane; -3x+y+z=9
I think the point that is in the parametric equation is [5,-3,-1] but I am unsure of how it relates to the plane.

2. ## Re: Parametric Equation parallel to Plane

Originally Posted by Volgra
Hey, I'm having trouble finding out if this parametric equation; [x,y,z] = {5-t},{-3+2t},{-1-5t} is parallel to the plane; -3x+y+z=9
I think the point that is in the parametric equation is [5,-3,-1] but I am unsure of how it relates to the plane.
A line is parallel to a plane iff its direction vector is perpendicular to the normal of the plane.