A straight line which is perpendicular to a plane is called a normal to the plane.

**Different
forms of Equation of a plane**

We have already seen the notion of a plane.

**Definition 6.8**

A straight line which is perpendicular to a plane is called a **normal **to the plane.

**Note**

Every normal to a plane is perpendicular to every straight line
lying on the plane.

A plane is uniquely fixed if any one of the following is given:

Â·
a unit normal to the plane and the distance of the plane from
the origin

Â·
a point of the plane and a normal to the plane

Â·
three non-collinear points of the plane

Â·
a point of the plane and two non-parallel lines or non-parallel
vectors which are parallel to the plane

Â·
two distinct points of the plane and a straight line or non-zero
vector parallel to the plane but not parallel to the line joining the two
points.

Let us find the vector and Cartesian equations of planes using
the above situations.

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

12th Mathematics : UNIT 6 : Applications of Vector Algebra : Different forms of Equation of a plane |

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