2. (25 points) Using the definition show that, on R2:=RR, ?(x,y):={d(x,y)d(x,0)+d(y,0)?ifxandyarecollinearotherwise? x=(x1?,x2?) and y=(y1?,y2?) are collinear if there is ??R with ??=0 such that x1?=?y1? and x2?=?y2?. This is called the Hedgehog metric.

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