Enter the equation of a plane and the coordinates of a point to calculate the distance from the point to the plane.

## Distance from point to plane formula

The following equation can be used to calculate the distance between a plane and a point.

d = |A·X + B·Y + C·Z + D/ √A^{2} + B^{2} + C^{2}

- Where D is the distance
- A, B, C, and D are constants of the plane equation
- X, Y, and Z are the coordinate points of the point

## Distance From Point to Plane Definition

The distance from a point to a plane is defined as the shortest distance from a single point to any point on a plane.

## How to calculate the distance from a point to a plane?

How to calculate the distance from a point to a plane

**First, determine the equation of the plane.**A 3-dimensional plane can be represented using an equation in the form AX + BY + CZ + D.

**Next, gather the constants from the equation in stead 1.**Separate A, B, and C in the equation determined in step 1.

**Next, determine the coordinates of the point**Measure or calculate the coordinates of the points x,y, and z.

**Calculate the distance**Calculate the distance from the point to the plane using the equation above and information from steps 1-3.

## FAQ

**How can you calculate a distance from a point to a plane when the plane is everywhere?**

Great question. The answer to this is that you can only calculate the average distance to the plane which will be a point directly perpendicular to the point and plane.