28-31. Vector operations Let u = <3, -4>, v = <1, 1>, and w = <-1, 0>.
28. Find |u + v + w|.
29. Find |-2v|.
30. Find two vectors parallel to u with four times the magnitude of u.
31. Which has the greater magnitude, u - v or w - u?
32. Find a unit vector in the direction of v = <-6, 8>.
33. Write v = <-5, 12> as a product of its magnitude and a unit vector in the direction of v.
34. Consider the points P(2, 7) and Q(6, 4). Write PQ as a product of its magnitude and a unit vector in the direction of PQ.
35. Find the vector v of length 6 that has the same direction as the unit vector <1/2, ?3/2>.
36. Find the vector v that has a magnitude of 10 and a direction opposite that of the unit vector <3/5, -4/5>.
37. Find the vector in the direction of <5, -12> with length 3.
38. Find the vector pointing in the direction opposite that of <6, -8> with length 20.
39. Find a vector in the same direction as <3, -2> with length 10.
40. Let v = <8, 15>.