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Let d be the usual metric on R2. (a) Find d(x,y) when x = (3,−2) and...

Let d be the usual metric on R2. (a) Find d(x,y) when x = (3,−2) and y = (−3,1). (b) Let x = (5,−1) and y = (−3,−5). Find a point z in R2 such that d(x,y) = d(y,z) = d(x,z). (c) Sketch Br(a) when a = (0,0) and r = 1. The Euclidean metric is by no means the only metric on Rn which is useful. Two more examples follow (9.2.10 and 9.2.12).

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