Distance from a Point to a Plane (3D) Calculator

Published on: May 31, 2026
Final Answer: Free • Full Steps: Pro

This Distance from a Point to a Plane (3D) Calculator helps you find the shortest distance from a point to a plane in three-dimensional space. Substitute the point coordinates and plane coefficients into the distance formula, then simplify the expression to get the final distance. This measures the perpendicular distance from the point to the plane. It is a simple way to check answers, understand the method clearly, and practise 3D coordinate geometry step by step.

Step-by-step method

  1. Identify the point P(x₀,y₀,z₀) and plane coefficients A,B,C,d.
  2. Substitute into the distance formula.
  3. Simplify to get the distance.

Formula:

\(D = \frac{\left|Ax_{0} + By_{0} + Cz_{0} - d\right|}{\sqrt{A^{2} + B^{2} + C^{2}}}\)