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(2, 3), B(−1, 6)
b. A(−l,−2), B(3,4)
c. A(3, 5), B(9, −2)
d. It is claimed that dT(A, B) ≥ (A, B) for all pairs A, B. Determine if this claim is correct for the pairs in parts (a)–(c). If it is, do you think that it is true for any pair of points?
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