Let V = R³. a) Give a definition of addition + on V that makes (V,+) unable to satisfy property Axiom 2 in the definition of vector space. b) Give a definition of addition '+' on V that makes (V,+) unable to satisfy property Axiom 4 in the definition of vector space. c) Give a definition of scalar multiplication on V that makes (V.) unable to satisfy property Axiom 10 in the definition of vector space.

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