Planes orthogonal to lines and lines orthogonal to planes in space: orthogonal

### 13.5.7 Planes orthogonal to lines and lines orthogonal to planes in space: orthogonal

The orthogonal command returns and draws a line or plane, depending on the arguments. The possible arguments are:

- A point A and a line L.
  orthogonal(A,L) returns and draws the plane through A orthogonal to L.
  Input:
  orthogonal(point(0,0,0),line(point(1,0,0),point(0,1,0)))
  Output:
- A line L and a plane P.
  perpendicular(L,P) returns and draws the plane containing L that is perpendicular to P.
  Input:
  perpendicular(line(point(0,0,0),point(1,1,0)),
  plane(point(1,0,0),point(0,1,0),point(0,0,1)))
  Output: