1) Consider the vector u = [8, 3] and v = [2, 7]. Evaluate u . v and determine the angle between the two vectors. [K] 2) Consider the vector u = [-6, 3]. [T] a. Write u in terms of i and j. b. State two unit vectors that are collinear with u. 23) Determine two vectors that are perpendicular to both E = [5, 6, 2] and of. = [3, 3, 8]. [T] 4) Find the dot product and the angle between vectors 5 = [3, 2, 0] and 13 = [6, 4, 2]. [K] 5) Determine the value of a and b such that the vectors [-2, a, 7] and [b, 6, 21] are collinear. Explain your reasoning. [C] 6) Given that u = [2, 3, -5] and v = [8, -4, 3] and w = [-6, -2, 0], determine the value of u . D + w [T] 4