Question: Prove that if V is a vector in a vector space V and k is a scalar, then kv = 0 if and only if

Prove that if V is a vector in a vector space V and k is a scalar, then kv = 0 if and only if k = 0 or V = 0. (Careful that use are using the denition of V from the axioms While proving this. You also may use 0V 2 0 without proof.)

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