Question: Let v, v1,..., vn denote vectors in a vector space V and let a, a1,..., an denote numbers. Use induction on n to prove each

Let v, v1,..., vn denote vectors in a vector space V and let a, a1,..., an denote numbers. Use induction on n to prove each of the following.
(a) a(a1 + a2 + ... + an)v = a1v + a2v + ... + anv

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