
Equation of a planePage navigation:
Definition. Plane is a surface containing completely each straight line, connecting its any points.
General form of the equation of a planeAny equation of a plane can by written in the general form A x + B y + C z + D = 0 where A, B and C are not simultaneously equal to zero. Equation of the plane in segmentsIf the plane intersects the axis OX, OY and OZ in the points with the coordinates (a, 0, 0), (0, b, 0) and (0, 0, с), then it can be found using the formula of Equation of the plane in segments
Pointnormal form of the equation of a planeIf you know the coordinates of the point on the plane M(x_{0}, y_{0}, z_{0}) and the surface normal vector of plane n = {A; B; C}, then the equation of the plane can be obtained using the following formula. A(x  x_{0}) + B(y  y_{0}) + C(z  z_{0}) = 0 Describing a plane through three pointsIf given the coordinates of three points A(x_{1}, y_{1}, z_{1}), B(x_{2}, y_{2}, z_{2}) and C(x_{3}, y_{3}, z_{3}), lying in a plane, the plane equation can be found by the following formula
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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