11. Highway Rest Stop Problem: A highway rest stop will be built 40% of the way...

  

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11. Highway Rest Stop Problem: A highway rest stop will be built 40% of the way from the town of Artesia, A, to the town of Brooks, B, in Figure 12-20. The two towns are located at points A(20, 73) and B(45, 10). Big City is located at the origin. The distances are in kilometers. (31) Rest stop Big City Figure 12-20 a. Write the position vectors for Artesia and Brooks. b. Write the displacement vector from Artesia to Brooks. c. Write the displacement vector from Artesia to the rest stop. d. Write the position vector for the rest stop. e. It has been proposed to supply electricity to the rest stop directly from Big City. How long would the electric lines have to be? At what angle to the x-axis would the lines have to run? f. How long would the electric lines have to be if they came from the closer of the two towns, Artesia or Brooks? 11. Highway Rest Stop Problem: A highway rest stop will be built 40% of the way from the town of Artesia, A, to the town of Brooks, B, in Figure 12-20. The two towns are located at points A(20, 73) and B(45, 10). Big City is located at the origin. The distances are in kilometers. (31) Rest stop Big City Figure 12-20 a. Write the position vectors for Artesia and Brooks. b. Write the displacement vector from Artesia to Brooks. c. Write the displacement vector from Artesia to the rest stop. d. Write the position vector for the rest stop. e. It has been proposed to supply electricity to the rest stop directly from Big City. How long would the electric lines have to be? At what angle to the x-axis would the lines have to run? f. How long would the electric lines have to be if they came from the closer of the two towns, Artesia or Brooks?