Equation of a Plane



  • 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


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.

If you would like to contribute notes or other learning material, please submit them using the button below.

      Forgot password?
Use app×