CoplanarPoints

CoplanarPoints({{x1,y1,z1},{x2,y2,z2},{x3,y3,z3},{a,b,c},...})

returns true if the point {a,b,c] is on the plane defined by the first three points {x1,y1,z1},{x2,y2,z2},{x3,y3,z3}.

See:

• Wikipedia - Coplanarity

Examples

>> CoplanarPoints( {{3,2,-5}, {-1,4,-3}, {-3,8,-5}, {-3,2,1}})
True

>> CoplanarPoints( {{0,-1,-1}, {4,5,1}, {3,9,4}, {-4,4,3}})
False

Implementation status

• ✅ - full supported

Github

• Implementation of CoplanarPoints