Problem deal with taxicab geometry. Let dT(A, B) represent taxicab distance between A and B and dE(A, B) represent the usual Euclidean distance.
Find dT (A, B) and dE (A, B) for the following pairs.
a. A(0, 0), B(0,10)
b. A(1, 1), B(1, 8)
c. A(−2, −3), B(7, −3)
d. A(5, 4), B(5, −2)
e. Using parts (a)−(d), describe, in general, pairs of points where the taxicab distance equals the Euclidean distance.
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