Calculate the perpendicular distance from a point to a plane in 3D space.
Last updated: April 2026 | By Patchworkr Team
The distance from a point to a plane is the length of the perpendicular line segment from the point to the plane.
This is the shortest distance between the point and any point on the plane.
The point lies on the plane.
Yes, we use absolute value in the formula.
Yes, treat z = 0 and use the 2D plane equation ax + by + d = 0.
It defines all points (x, y, z) that satisfy ax + by + cz + d = 0.
CAD, robotics, graphics, and physics simulations use this for collision detection.
This is invalid - you don't have a plane. At least one coefficient must be non-zero.
No, distance is the same regardless of which point or plane orientation.
No, the absolute value ensures it's always positive.
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