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

## 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 point x,y, and z.

**Calculate the distance**Calculate the distance from the point to 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.

## Related Terms

distance from point to plane calculator |

distance from point to plane formula |

distance from point to plane |

how to calculate distance from point to plane |

distance between two planes |

distance between point and plane |

distance between line and plane |

distance between 2 planes |

distance on the coordinate plane |

find the distance from the point to the plane |

distance of point from plane |

midpoint and distance in the coordinate plane |

how to find the distance between two points on a coordinate plane |

distance between two planes formula |

distance between point and plane calculator |

distance from plane to point |

how to find distance between two planes |

shortest distance from point to plane |

equation of plane containing two parallel lines |

distance of plane from origin |

plane distance |

distance between plane and line |

finding the distance between two points on a coordinate plane worksheet |

distance from point to a plane |

find the distance between the planes |

distance between two planes calculator |

find the distance between two planes |

shortest distance between two planes |

midpoint and distance in the coordinate plane worksheet |

distance formula coordinate plane |

distance from line to plane |

find the point on the plane closest to the point |

how to find the distance from a point to a plane |

distance of a point to a plane |

shortest distance between point and plane |

coordinate plane distance calculator |

distance on the coordinate plane 6th grade |

how do you find the distance between two points on a coordinate plane |

distance between point and a plane |

formula for distance between two planes |

all points in a plane that are a set distance from a given point |

distance from plane to origin |

how to find distance from point to plane |

find distance between point and plane |

distance between planes formula |

distance from plane to plane |

distance between point and plane formula |

midpoint and distance in the coordinate plane answers |

point on plane closest to point |

how to find distance between point and plane |

shortest distance between line and plane |

a closed plane figure having all points an equal distance from the center |

formula of distance between two planes |

distance between line and plane formula |

find the distance between a point and a plane |

distance between 2 planes formula |

midpoint and distance in the coordinate plane practice |

distance formula cartesian plane |

find the distance of the point from the plane measured parallel to the line |

distance from point to xy plane |

distance between two points on a coordinate plane |

find an equation for the surface consisting of all points that are equidistant from the point |

how to find distance between 2 planes |

plane point distance |

distance between two planes in 3d formula |

distance between two points in a plane |

finding distance in the coordinate plane |

find the distance between each pair of points on the coordinate plane |

point to plane distance formula |

distance between two non parallel planes |

finding the distance between two points on a coordinate plane |

distance on a coordinate plane formula |

distance between points on a coordinate plane |

there are 10 points in a plane no three of which are in the same straight line |

distance of point from plane measured parallel to line |

finding distance on a coordinate plane |

find the distance from the point to the plane calculator |

distance from plane to point calculator |

find shortest distance from point to plane |

distance point to plane calculator |

distance from point to plane equation |

distance of plane from origin formula |

midpoint formula on a coordinate plane |

midpoint on a coordinate plane |

distance of a point from a plane measured parallel to a line |

lesson 25 distance in the coordinate plane answer key |

distance from point to plane example |

distance between vector and plane |

how to find distance between planes |

distance between two points on coordinate plane |

how to find the distance on a coordinate plane |

distance between line and plane pdf |

distance between two planes in 3d |

distance between plane |

distance from point to plane 3d |

plane distance from origin |

shortest distance from plane to point |

plane distance formula |

distance between parallel line and plane |

distance between the two planes |

distance between plane and plane |

equation of line parallel to plane |

how to find distance of a point from a plane |

how to find the shortest distance between a point and a plane |

how to find distance between two points on a coordinate plane |

distance between two planes that are not parallel |

distance formula in coordinate plane |

distance from point to xz plane |

how to find the distance between 2 planes |

distance formula between two planes |

the distance between a point and a plane |

find distance between 2 planes |

minimum distance between point and plane |

distance between a line and plane |

shortest distance between planes |

formula for distance between two points on a coordinate plane |

how to find the distance of a point from a plane |

distance between plane and line calculator |

find line parallel to plane |

how can you find distance between two points located in different quadrants |

how to find distance between a line and a plane |

1.7 midpoint and distance in the coordinate plane |

minimum distance between plane and point |

midpoint and distance in the coordinate plane worksheet answers |

shortest distance between two parallel planes |

distance formula between two points on a coordinate plane |

how to find distance between plane and point |

how to find the length of a line segment on a coordinate plane |

finding the distance between two parallel planes |

distance from plane to a point |

finding distance on the coordinate plane |

how to find shortest distance between point and plane |

distance formula in cartesian plane |

how to find distance of plane from origin |

midpoint and distance in the coordinate plane answer key |

out of 18 points in a plane no three are in the same straight line |

linear algebra distance from point to plane |