Planes orthogonal to lines and lines orthogonal to planes in space

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

The orthogonal command finds orthogonal objects. It takes its arguments in different ways, and returns and draws a line or plane, depending on the arguments.

With a point and a line.
- orthogonal takes two arguments:
  - P, a point.
  - L, a line.
- orthogonal(P,L) returns and draws the plane through P orthogonal to L.
With a line and a plane.
- orthogonal takes two arguments:
  - L, a line.
  - P, a plane.
- orthogonal(L,P) returns and draws the plane containing L that is perpendicular to P.

Examples

orthogonal(point(0,0,0),line(point(1,0,0),point(0,1,0)))

perpendicular(line(point(0,0,0),point(1,1,0)), plane(point(1,0,0),point(0,1,0),point(0,0,1)))