Directions: Give an example of the requested vector or vectorvalued function for each statement below, or state that no such vector exists. In order to receive full credit, you must Show that your vector meets the requested criteria or explain why no such vector exists. Answers with no justication will receive a score of 0. A. [10 pts] Three different nonzero vectors Ti, 1?, and a in R3 so that proj; if = proj; I; = (0, 2, 5). B. [10 pts] A nonzero vector if so '2; + 3?' = 2 lil + 3 Fl, where E = (3,1,2). Directions: Give an example of the requested vector or vector-valued function for each statement below, or state that no such vector exists. In order to receive full credit, you must show that your vector meets the requested criteria or explain why no such vector exists. Answers with no justification will receive a score of 0. C. [10 pts] Three nonzero vectors u, v, and w in R" so u . w = v . w but u # v. D. [10 pts] A vector-valued function r (t) = (x(t), y(t)) for which r (t) = 4 and T '(t) = 2t