Equation of a Plane

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Topics

  • Passing through a point and perpendicular to a vector
  • Passing through a point and parallel to two vectors
  • Passing through three non-collinear points
  • In normal form
  • Passing through the intersection of two planes

Text

A plane is determined uniquely if any one of the following is known: 
(i) the normal to the plane and its distance from the origin is given, i.e., equation of a plane in normal form. 
(ii) it passes through a point and is perpendicular to a given direction. 
(iii) it passes through three given non collinear points. Now we shall find vector and Cartesian equations of the planes.

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