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

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Prove Theorem 6.1(c).

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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