Prove Theorem 6.1(a). Let V be a vector space, u a vector in V, and c a

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Prove Theorem 6.1(a).

Let V be a vector space, u a vector in V, and c a scalar.
a. 0u = 0
b. c0 = 0
c. (-1)u = -u
d. If cu = 0, then c = 0 or u = 0.

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