18. MNPQ is a parallelogram and R is the intersection point of the diagonals MP and NQ. Let u = MQ and v = MN. Match the following expressions to their equivalents in terms of u and v. 1 . PN + PQ a. - 1 f. utv b. 2u g. -v C. h. - u - v ii. MR + RN + QP d. i. 0 e. j. 2V 19. Match the vector coordinates to each Cartesian vector. M D -4 1 . GH B H a. [3, -4] d. [3, 2] N b. [-2, 6] e. [5, 0] -4 O 2 4 X c. [4, 3] ii. MN -2 K C 4 20. Match the magnitudes to their Cartesian vectors. i . RS U a. 5 2 d. 21/2 R b. 10 e. 1 -4 -2 2 4 x c. 10 P ii XY X WThinking 21. Given x = (2, 5), ) = (-5, 12) find the scalar projection of x on V. 22. If (-1, 3, 5) x (0, a, 1) = (-2, 1, -1), determine a. ' 23. Given u = [1, 7, 9] and, v = [-2, 5, -3] and w = [4, -6, 8]. a) Find the angle between v and w. b) Are the vectors u and i and w coplanar? Show your answer algebraically