For points P1 = (x1, y1) and P2 = (x2, y2) in R2, the Manhattan metric d(P1, P2) is

Chapter 16, Problem 16.2

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For points P1 = (x1, y1) and P2 = (x2, y2) in R2, the Manhattan metric d(P1, P2) is definedby d(P1, P2) = |x1 x2| + |y1 y2|. Prove that the Manhattan metric is, in fact, a metricon R2.

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