Math‎ > ‎Geometry‎ > ‎

Plane

Also known as the ground in ancient flight simulators

  • Plane Equation: ax + by + cz = d.
  • If n = [a,b,c] : p·n = d.
  • n is perpendicular to the plane, the normal. 
  • Distance a from plane to point : a = q·n - d
Closest point q' on a plane to point q
  • Calculate distance between plane and closest point and then offset from q.
  • q' = q + (q·n - d ) n 
Intersection of a plane and a sphere.
  • Get sphere center distance d from plane.
  • If d > radius then sphere in front of plane. If d < -radius then sphere behind plane. Otherwise it intersect the plane.


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