MATH / ANALYTIC GEOMETRY

Point to Plane Distance Calculator

Find perpendicular distance from a point to a plane in general Cartesian form. Review the symbolic equation, substituted values, interpretation boundary, and result in one guided workspace.

01 Calculated in this tab
02 Values stay in this browser tab
03 Use boundary

Use boundary

Calculation path

Find perpendicular distance from a point to a plane in general Cartesian form. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

d=|Ax_0+By_0+Cz_0+D|/sqrt(A^2+B^2+C^2)

What you provide

Plane coefficient A, using the same scenario as the other inputs
Plane coefficient B, using the same scenario as the other inputs
Plane coefficient C, using the same scenario as the other inputs
Plane constant D, using the same scenario as the other inputs
Point x-coordinate, using the same scenario as the other inputs
Point y-coordinate, using the same scenario as the other inputs
Point z-coordinate, using the same scenario as the other inputs

What you receive

Perpendicular distance from the stated equation
A symbolic formula plus substituted working with your values
Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

At least one plane normal coefficient must be nonzero.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

OpenStax Introductory Statistics 2e

Point to Plane Distance Calculator

Calculation path

What you provide

What you receive

Choose the maximum decimal places shown. This does not increase source accuracy.

Reviewed reference factors

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