Let a,b,c, be any distinct points in A3, and assume that the y are not collinear. Let H be the plane of the equation  (i)...

Let a,b,c, be any distinct points in A3, and assume that the y are not collinear. Let H be the plane of the equation

(i) WhatistheintersectionoftheplaneHandthesolidtriangledeterminedbya,c(theconvexhullofa,b,c)?

(ii) GiveanalgorithmtofindtheintersectionoftheplaneHandthetriangledeter-minedbya,b,c.

(iii) (extra credit) Impelment the above algorithms o that the intersection can be visualized (you may use Maple, Mathematica, Matlab, etc.)