Planes in space

### 27.5.1 Planes in space

The plane command draws and returns a plane. It can take its arguments in three different ways.

1. Three points.
   - plane takes three arguments: P,Q,R, three points.
   - plane(P,Q,R) returns and draws the plane through P,Q and R.
2. A point and a line.
   - plane takes two arguments:
     - P, a point.
     - L, a line.
   - plane(P,L) returns and draws the plane through P and L.
3. An equation.
   - plane takes eqn, the equation of a plane.
   - plane(eqn) returns and draws the plane with the given equation.

#### Example

plane(point(0,0,5),point(0,5,0),point(0,0,5))

or:

plane(point(0,0,5),line(point(0,5,0),point(0,0,5)))

or:

plane(x+y+z=5)