1: Let (X,) be a metric space and let d1(x.,y)=K d(x.y), K>0. Prove that d1 is a metric function on X.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter8: Applications Of Trigonometry
Section: Chapter Questions
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1: Let (X,) be a metric space and let
d1(x,y)=K d(x.y), K>0.
Prove that d1 is a metric function on X.
Transcribed Image Text:1: Let (X,) be a metric space and let d1(x,y)=K d(x.y), K>0. Prove that d1 is a metric function on X.
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