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Plane

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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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  • Cartesian and vector equation of a plane
  • Direction ratios of the normal to the plane
  • One point form
  • Normal form
  • Intercept form
  • Distance of a point from a plane
  • Intersection of the line and plane
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