📐 Distance Between a Point and a Plane Calculator

What this calculator finds

This calculator finds the shortest straight-line distance from a point in 3D space to a flat plane, measured perpendicular to that plane.

The formula

For a plane written as ax + by + cz + d = 0 and a point (x0, y0, z0), the distance is:

D = |a·x0 + b·y0 + c·z0 + d| / √(a² + b² + c²)

The numerator plugs the point’s coordinates into the plane’s equation and takes the absolute value, while the denominator is the magnitude of the plane’s normal vector (a, b, c). This is a standard tool in analytic geometry, 3D graphics, physics, and engineering. Results are for general educational and computational purposes.