# From Vector to Plane

From Vector to Plane

Any nonzero vector defines a unique plane in 3D. Except for planes through the origin, every plane is defined by a unique vector. This vector is normal (perpendicular) to the plane. In the equation of the plane , with as the defining vector, , which is the square of the norm (length) of the vector.

Ax+By+Cz=D

(A,B,C)

D=++

2

A

2

B

2

C

A vector norm is a length. A normal vector is perpendicular to a plane or line.