# Thread: equation to a plane

1. ## equation to a plane

have some trouble with this question.

decide the equation for the plane that goes through the points P1: (3,4,0), P2: (4,3,1), P3: (3,2,4) (in the same coordinate system) assume that the coordinate system is orthonormal.

2. ## Re: equation to a plane

Originally Posted by paulaa
have some trouble with this question.
decide the equation for the plane that goes through the points P1: (3,4,0), P2: (4,3,1), P3: (3,2,4) (in the same coordinate system) assume that the coordinate system is orthonormal.
First let $\displaystyle R=<x,y,z>$ then the plane is:
$\displaystyle \left( {\overrightarrow {P_1 P_2 } \times \overrightarrow {P_1 P_3 } } \right) \cdot \overrightarrow {P_1 R} = 0$

3. ## Re: equation to a plane

V1 = P2 - P1
V2 = P3 - P2

What do you know about Cross Products and Normal Vectors?