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Let V be the set of all triples (r,s,t) of real numbers with the standard vector...

Let V be the set of all triples (r,s,t) of real numbers with the standard vector addition, and with scalar multiplication in V defined by k(r,s,t) = (kr,ks,t). Show that V is not a vector space, by considering an axiom that involves scalar multiplication. If your argument involves showing that a certain axiom does not hold, support your argument by giving an example that involves specific numbers. Your answer must be well-written.

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