Equation of a Plane

where:

  • - a vector normal to the plane
  • - a point on the plane
  • - another point on the plane, keep these as variables

- vector representing the line from the origin to

notice that:

Finding the normal vector

When trying to make an equation of a plane it is necessary to find the normal vector to the plane. To do this one can find two vectors along the plane (generally done so by subtracting two points) and then finding the cross-product of those two vectors.