(a) Define the term “signed area” for a triangle whose vertices are given by their coordinates in the Cartesian plane.
(a) Define the term “signed area” for a triangle whose vertices are given by their coordinates in the Cartesian plane.
(b) Explain how the order in which the three vertices are listed (clockwise or counter-clockwise) affects the sign of this signed area.
(c) For the triangle with vertices A(2, 3), B(7, 1) and C(4, 6), determine whether the vertices A, B, C named in that order are arranged clockwise or counter-clockwise. Give reasons for your answer.