# 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.

#### Examples

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:

#### Example

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.