Question: Let V be a vector space over a field K. 9 > (a) [3 points] If u E V, c E K and on =

Let V be a vector space over a field K. 9 > (a) [3 points] If u E V, c E K and on = 0, show that either 0 = 0 or u = O. (b) [3 points] If u E V, u 9'5 6, and a, b E K with a 9'5 b, show that an 7E bu. Hint: Do a proof by contradiction. Start by assuming au 2 bu. (c) [3 points] If u, v E V with u at v and c E K with c at 0, show that cu 79 cu. Hint: proof by contradiction

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