Problem 2: (Examples) 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. Three different nonzero vectors u, v, and w in R3 so that projo u = proj, v = (0, 2, 5). B. A nonzero vector V so 2u + 3v = 2 u|+3|v, where u = (3, 1, -2). C. Three nonzero vectors u, v, and w in R' so u . w = v . w but u # v. D. A vector-valued function T (t) = (x(t), y(t)) for which T (t) | = 4 and |7 '(1)| = 21. A