True or False In Exercises 83 and 84, determine whether

Chapter 5, Problem 5.84

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True or False? In Exercises 83 and 84, determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.(a) The vectors u v and v u in R3 have equallengths but opposite directions.(b) If u and v are two nonzero vectors in R3, then u andv are parallel if and only if u v = 0.(c) A special type of least squares approximation, theFourier approximation, is spanned by the basisS = {1, cos x, cos 2x, . . . , cos nx, sin x,sin 2x, . . . , sin nx}