Answer Happy

Questions 30 and 34
1 27. 10u 3v + w 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 vec- tor in the direction of v. 34. Consider the points P(2, 7) and Q(6, 4). Write PO as a product of its magnitude and a unit vector in the direction of PO 35. Find the vector v of length 6 that has the same direction as the unit vector (1/2, V3/2). 36. Find the vector v that has a magnitude of 10 and a direction oppo- site that of the unit vector (3/5, -4/5). 37. Find the vector in the direction of (5, -12) with length 3. O 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).