Determine if the following statements are True or False. Support your answer. (i

Question

Determine if the following statements are True or False. Support your answer. (i) Suppose a u = b u for all u. Then a = b. (ii) Suppose a v = b v for all v. Then, a = b. (iii) Suppose that a; b are orthogonal, then a b = 0. (iv) Suppose that a; b are parallel, then a b = kak kbk. (v) If a; b; c are vectors in R^3 such that a b = c and b c = a, then c a = b. (vi) If projba = projab, then a = b. (vii) If a c = b c, then projca = projcb Determine if the following statements are True or False. Support your answer. (i) Suppose a u = b u for all u. Then a = b. (ii) Suppose a v = b v for all v. Then, a = b. (iii) Suppose that a; b are orthogonal, then a b = 0. (iv) Suppose that a; b are parallel, then a b = kak kbk. (v) If a; b; c are vectors in R^3 such that a b = c and b c = a, then c a = b. (vi) If projba = projab, then a = b. (vii) If a c = b c, then projca = projcb

Explanation / Answer

r False.

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