# Thread: Parametric equations for a line.

1. ## Parametric equations for a line.

Find parametric equations for the line through (2, 4, 6) that is perpendicular to the plane x - y + 3z = 7.

I think you have to find the normal to this plane and then plug in some results, but how do I get the normal? Or perhaps go about this problem in some other way?

Thank you

2. Originally Posted by Undefdisfigure
Find parametric equations for the line through (2, 4, 6) that is perpendicular to the plane x - y + 3z = 7.

I think you have to find the normal to this plane and then plug in some results, but how do I get the normal? Or perhaps go about this problem in some other way?

Thank you
the normal to a plane $\displaystyle ax + ny + cz = d$ is simply $\displaystyle \vec n = <a,b,c>$

3. Originally Posted by Undefdisfigure
Find parametric equations for the line through (2, 4, 6) that is perpendicular to the plane x - y + 3z = 7.

I think you have to find the normal to this plane and then plug in some results, but how do I get the normal? Or perhaps go about this problem in some other way?

Thank you
A normal to the plane $\displaystyle ax + by + cz = d$ is $\displaystyle ai + bj + ck$ .......