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