Distance from Point to Plane Calculator

Your details

Standard: supply the four coefficients directly. Normal vector: supply the plane normal and one point that lies on the plane.
Coefficient of x in the plane equation Ax + By + Cz + D = 0.
Coefficient of y in the plane equation.
Coefficient of z in the plane equation.
Constant term in Ax + By + Cz + D = 0.
x-coordinate of the point whose distance to the plane you want.
y-coordinate of the point.
z-coordinate of the point.
Distance
0.333333

Perpendicular (shortest) distance from the point to the plane.

|Ax₀ + By₀ + Cz₀ + D|1
√(A² + B² + C²)3
Plane equation usedx + 2y + 2z - 6 = 0
Signed distance-0.333333
|Numerator|1
Normal length3
Distance0.333333

Perpendicular distance: 0.333333

  • The perpendicular distance from point (1, 1, 1) to the plane is 0.333333.
  • The point is on the negative side of the plane (opposite to the normal vector).
  • This is the shortest possible distance from the point to any point on the plane.

Next stepTo find the foot of the perpendicular (the closest point on the plane), move from your point in the direction of the negative normal by distance 0.3333 units.

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