# Thread: Point-Normal equation of a plane.

1. ## Point-Normal equation of a plane.

Given that a plane passes throught the points (1,2,3) and (3,2,1) and is parallel to the vector (-3,-2,-1), how would i go about finding a point-normal equation for the plane?

2. Originally Posted by Oiler
Given that a plane passes throught the points (1,2,3) and (3,2,1) and is parallel to the vector (-3,-2,-1), how would i go about finding a point-normal equation for the plane?
Define $\displaystyle \vec{u}=<3,2,1>-<1,2,3>$ and $\displaystyle \vec{v}=<-3,-2,-1>$.
The normal to the plane will be $\displaystyle \vec{n}=\vec{u}\times \vec{v}$.