Unlock the secrets of 3D geometry with our free online Distance from Point to Plane Calculator. Quickly find the shortest perpendicular distance between any given point and a plane in space. Ideal for students, engineers, and mathematicians, this tool simplifies complex calculations for Cartesian coordinates and plane equations.
Formula:
The distance D from a point P(x0, y0, z0) to a plane Ax + By + Cz + D = 0 is given by:
D = |Ax0 + By0 + Cz0 + D| / √(A2 + B2 + C2)
Where:
- (x0, y0, z0) are the coordinates of the point.
- A, B, C are the coefficients of the normal vector to the plane.
- D is the constant term in the plane equation.
- |...| denotes the absolute value.