Explain why or why not Determine whether the
Chapter 11, Problem 47(choose chapter or problem)
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. projvu = projuv. b. If nonzero vectors u and v have the same magnitude, they make equal angles with u + v. c. 1u # i22 + 1u # j22 + 1u # k22 = _ u _2. d. If u is orthogonal to v and v is orthogonal to w, then u is orthogonal to w. e. The vectors orthogonal to 81, 1, 19 lie on the same line. f. If projvu = 0, then vectors u and v (both nonzero) are orthogonal. 4
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