# Equation of a Plane

Equation of a Plane

Given a fixed point and a nonzero vector , the set of points in for which P is orthogonal to is a plane. The plane passing through the point with normal vector is described by the equation . This Demonstration shows the result of changing the initial point or the normal vector.

P

0

n

P

3

P

0

n

(,,)

x

0

y

0

z

0

n=<a,b,c>

a(x-)+b(y-)+c(z-)=0

x

0

y

0

z

0