Please take your time to do these Chapter 3 questions carefully!

22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A = 20.0 units. B 40.0 units, and G = 30.0 units. Find (a) the resultant in unit-vector nota- tion and (b) the magnitude and direc- tion of the resultant displacement.\f26. A girl delivering newspapers covers her route by travel- ing 3.00 blocks west, 4.00 blocks north, and then 6.00 blocks east. (a) What is her resultant displacement? (b) What is the total distance she travels?29. Review. As it passes over Grand Bahama Island, the 11"\" eye of a hurricane is moving in a direction {30.0\" north of west with a speed or 41.0 lam/h. (a) What is. the unit-vector expression for the veincity of the hurricane? It maintains this veiocity for 3.00 h. at which time the course of the hurricane suddenly shifts due north. and its speed slows to a constant 25.0 klnfh. This new reinc- it}; is maintained for 1.50 h. (h) TPit-That is the unit-vector expression for the new velocitj,r of the hurricane? (c) \"That is the unit-vector expression [or the dis- placement of the hurricane during the first 3.00 h? (d) 1What is the unit-vector expression for the dis- placement of the hurricane during the latter 1.50 h? (c) How far from Grand Bahama is the eye 4.50 h after it passes over the island? 34. You are spending the summer as an assistant learning how [in to navigate on a large ship carrying freight across Lake Erie. One day, you and your ship are to travel across the lake a distance of 200 km traveling due north from your origin port to your destination port. Just as you leave your origin port, the navigation electronics go down. The cap- tain continues sailing, claiming he can depend on his years of experience on the water as a guide. The engineers work on the navigation system while the ship continues to sail, and winds and waves push it off course. Eventually, enough of the navigation system comes back up to tell you your location. The system tells you that your current position is 50.0 km north of the origin port and 25.0 km east of the port. The captain is a little embarrassed that his ship is so far offcourse and harks an order to you to tell him immedi- ately what heading he should set from your current position to the destination port. Give him an appropriate heading angle. 38. A ferry transports tourists between three islands. lt sails from the first island to the second island. 4.376 km away, in a direction 37.0\"\" north of east. It then sails from the second island to the third island in a direction 59.0\" west of north. Finally it returns to the rst island, sailing in a direction 28.0\" east of south. Calculate the distance between (a) the second and third islands and (b) the first and third islands. 41. A vector is given by R = 2i + j + 3k. Find (a) the mag- nitudes of the x, y, and z components; (b) the magnitude of R; and (c) the angles between R and the x, y, and z axes.'15. A rectangular parallelepiped has dimensions a. b, and c as E shown in Figure P345. (21) Obtain a vector expression for the face diagonal vector ii]. (_l)) 1What is_the magnitude of this vector? (c) Notice that RI, ck. and R2 make a right triangle. Obtain a vector expression for the body diagonal vector R3. Figure P145