32, 33 and 34 Vector Addition 11. 13. 15. (I) A car is driven 225 km west and then 98 km southwest (45). What is the displacement of the car from the point of origin (magnitude and direction)? Draw a diagram. (I) If V, = 9.80 units and Vy = 5.40 units, determine the magnitude and direction of V. (II) '7 is a vector 24.8 units in magnitude and points at an angle of 23.4 above the negative X axis. (a) Sketch this vector. (b) Calculate Vx and W. (c) Use Vx and W to obtain (again) the magnitude and direction of '7. [Note: Part (c) is a good way to check if you've resolved your vector correctly.] (II) Figure 333 shows two vectors, A and 15, whose magnitudes are A = 6.8 units and B = 5.5 units. Determine C if (a) a = A+l,(b) E: = 5515, (C) a = A. Give the magnitude and direction for each. (ll) Three vectors are shown in Fig. 3-35. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of (0) components, (b) magnitude and angle with the +x axis. (II) Determine the vector 116, given the vectors A and C in Fig. 335. (II) For the vectors given in Fig. 335, determine (a) A - B + C, (b) A + fl C, and (c) C A - E. (II) The summit of a mountain, 2450 m above base camp, is measured on a map to be 4580 m horizontally from the camp in a direction 38.4 west of north. What are the components of the displacement vector from camp to summit? What is its magnitude? Choose the x axis east, y axis north, and z axis up. B (B = 26.5) A (A = 44.0) 56.09 28.0 X FIGURE 3-35 C (C=31.0) Problems 9, 10, 11, 12, and 13. Vector magnitudes are given in arbitrary units.7. (II) Figure 3-33 shows two vectors, A and B, whose magni- tudes are A = 6.8 units and B = 5.5 units. Determine C if (a) C = A + B, (b) C=A -B, (c) C =B - A. Give the magnitude and direction for each. A B X FIGURE 3-33 Problem 7