Solve the following question below

Multiple Choice part: Identify the choice that best completes the statement or answers the question. 1. Find the component form and the magnitude of the vector u. Initial Point Terminal Point (3, 2) (-4, 7) (a) v = (-1, 5), 101 =12 ( b) v = (9, -1), 1/811 = 174 (C) v = (-7, 9), 11011 = V24 (d) v = (-7, 5), 11011= 174 2. If u = 2i - 3j and v = 47 + 63 find 3u - 20. (a) 62 - 3j_ (b) 32 - 143 (c) -21 - 213 (d) 82 + 10j 3. Find the component form of v if | |3)| = 3 and the angle it makes with the x-axis is 60. (a) (13, 1) (b) (3, 3 v3) (c) (2, 1) (d) ( 3 V2) 4. Let w be a vector with initial point (-1, -2) and terminal point (3, 0). Write w as a linear combination of the standard unit vectors i and j. (a) -3i - 5j ( b ) -4i + j (c) 2i - 3j (d) 4i + 2j 5. Find the dot product of u and v. u =, v =. (a) 4 (b) V3 (C) (d) 0 Form A Page 1 of 2nearest 0.10 . 6. Using the formula u . v = lull|| || cos 0, find the angle between u = (1, 6) and v = (2, -1) to the (a) 73.0 (b) 123.5 (c) 94.30 (d) 107.10 7. What is the work required to raise a 26 pound box by 7.2 feet? (a) 187.2 foot-pounds (b) 3.61 foot-pounds (c) 232.9 foot-pounds (d) 0.277 foot-pounds Free response part. Show work or reasoning: 8. Bill and Guillermo are trying to push a 2500 lb car up a hill that makes an angle of 50 with the horizontal. What is the minimum force they must exert to keep it from rolling down the hill? 5 - 9. A plane has a bearing of 70 with an airspeed of 175 mph. The wind is blowing in the direction 120 at a speed of 65 mph. Find the ground speed and true direction of the plane. 10. Forces with magnitude 230 newtons and 145 newtons act on a machine part at angles of 10 and 47 respectively. Find the magnitude and direction of the resultant of these forces