Betweenness in taxicab geometry. Let A = (0,0) B = (1,0) and C = (1,1) and let k denote the taxicab metric.
(a) Find all points P such that k(A,P)+ k(P,B) = k(A,B) Draw a sketch in the cartesian plane.
(b)Find all points P such that k(A,P)+k(P,C)= k(A,C)Draw a sketch in the cartesian plane.