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.
- 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