
Distance from point to plane.Page navigation:
Definition. The distance from a point to a plane is equal to length of the perpendicular lowered from a point on a plane.Distance from point to plane formulaIf Ax + By + Cz + D = 0 is a plane equation, then distance from point M(M_{x}, M_{y}, M_{z}) to plane can be found using the following formula:
Examples of tasks with distance from point to planeExample 1. To find a distance between plane 2x + 4y  4z  6 = 0 and point M(0, 3, 6).
Solution. Let's use the formula
Answer: Distance from point to plane is equal to 3. Analytic geometry: Introduction and contentsDistance between two pointsMidpoint. Coordinates of midpointEquation of a lineEquation of a planeDistance from point to planeDistance between two planesDistance from a point to a line  2DimensionalDistance from a point to a line  3DimensionalAngle between two planesAngle between line and plane
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