Distance Point to Plane Calculator
Calculate the perpendicular distance from a point to a plane, foot of perpendicular, and reflection.
Input
Point P
Plane: ax + by + cz + d = 0
Presets:
Perpendicular Distance
0.66666667
Foot of Perpendicular
(0.7778, 1.5556, 2.5556)
Closest point on plane to P
Signed Distance
0.666667
Point is on positive side of plane
Reflection of P
(0.5556, 1.1111, 2.1111)
Mirror image across the plane
Plane Properties
Normal: (1.0000, 2.0000, 2.0000)
Unit normal: (0.3333, 0.6667, 0.6667)
|n| = 3.0000
Intercepts
9.0000
4.5000
4.5000
Distance Formula
d = |ax₀ + by₀ + cz₀ + d| / √(a² + b² + c²)
Where (x₀, y₀, z₀) is the point and ax + by + cz + d = 0 is the plane.
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun