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1. Let SC R be the subset S = {(0, y,0)Ty e R}. Prove that if u, w ES and a R, then +

    

1. Let SC R be the subset S = {(0, y,0)Ty e R}. Prove that if u, w ES and a R, then + w S and av E S. (This is what it means to prove that S is closed under addition and scalar multiplication.)| 2. Let V be a vector space over R. Prove that if a R and a 0, then a0 = 0.

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