1. The problem statement, all variables and given/known data In an arbitrary complex inner-product space V which of the following is not always true? a. <αu + βv, w> = α<u, w> + β<v, w> b. |<u, v>|2 ≤ <u, u> <v, w> c. <u, αv> = α<u, v> d. <0, u> = 0 2. Relevant equations None 3. The attempt at a solution The correct answer must be a, but I don't know what to do with b. a. False. If the constants are complex, they will be conjugated. b. Any ideas? c. True. Constants in the second argument will not be conjugated. d. True. Multiplying a complex number by zero still results in a zero.