Part of V3D-02 — Three-Dimensional Geometry

Distance from a Point to a Plane

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The perpendicular distance from point P(x_{1},y_{1},z_{1}) to plane ax+by+cz+d = 0 is: D = |ax_{1}+by_{1}+cz_{1}+d|/sqrt(a2a^{2}+b2b^{2}+c2c^{2}). This is one of the most frequently used formulas in JEE 3D geometry. To find the foot of the perpendicular, write the line through P with direction (a,b,c) (parallel to the normal), and find where it meets the plane.

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