the usual metric space defined by  d(x,y)= x-y prove the four propertis of metric space

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 94E
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the usual metric space defined by 

d(x,y)= x-y

prove the four propertis of metric space

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