Distance between a point and a plane

Distance between a point (.) M and a plane – is the shortest distance expressed as a segment of a perpendicular dropped from (.) M onto the plane given by the general form equation Ax + By + Cz + D = 0.

The script of the online calculator performs the calculation by the formula L = |A•Mx + B•My + C•Mz + D| / square root (A2 + B2 + C2). In this formula Mx, My, Mz – coordinates of the point, A, B, C, D – coefficients of the plane equation. Their values need to be entered in the appropriate fields online of the calculator.

The need to determine the distance between (.) M and a plane Ax + By + Cz + D = 0 may arise among engineers and designers of building structures, when positioning an aircraft over the ground and in other cases of planes.