Three Dimensional Geometry - Planes

General Form

where is the normal vector to the plane.

Normal Form

Point-Normal Form

Cartesian Form Through a Point

Example: Find Equation of Plane

Find the equation of the plane passing through with normal .

Intercept Form

Equation of Plane Through Three Points

Example: Plane Through Three Points

Find the equation of the plane through , , .

Distance from Point to Plane

Example: Distance from Point to Plane

Find the distance from to the plane .

Parallel and Perpendicular Planes

Angle Between Two Planes