Distance Between a Point and a Plane
The distance from a point, P, to a plane, π, is the smallest distance from the point to one of the infinite points on the plane.
This distance corresponds to the perpendicular line from the point to the plane.
Calculate the distance from Point P = (3, 1, −2) to the planes and .
Calculate the distance from Point Q = (5, 5, 3) to the plane .
Distance Between Parallel Planes
The distance between two parallel planes is the distance from any point from one plane to a point on the other plane.
It is also possible to calculate the distance using this form:
Calculate the distance between the planes and .
The two planes are parallel.
Transform the equation of the second plane so that the two planes have the same normal vector.