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## Homework Statement

Consider the set A={(u,v,w) in R^3 : u^2+v^2>0} and define a relation ~ on A by (u,v,w)~(u',v',w') IFF there exists a "k" in R, where k doesnt equal 0: (u',v',w')=(ku,kv,kw)

Prove that ~ is an equivalence relation of A

## Homework Equations

I honestly dont know where to start, i know i need to satisfy the reflexive, symmetric & transitive requirements but i dont even know what the relation is here. Any help is very much appreciated.