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Cross Product |
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Given ∆ABC and points P and Q. Let PaPbPc be the cevian triangle of P. Let A1 be the intersection of lines PbPc and AQ and cyclically. Then triangles PaPbPc and A1B1C1 are perspective and the perspector is the Cross Product of points P and Q. 
PaPbPc = cevian triangle of point P. A1 = PbPc ∩ AQ. B1 = PcPa ∩ BQ. C1 = PaPb ∩ CQ. R = Cross Product of P and Q = Perspector of triangles PaPbPc and A1B1C1. |
