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 A(20, 73) and B(45, 10). Big City is located at the origin. The coordinates are in kilometers. Figure 10-2l a. Write the position vectors of Artesia and Brooks. . a. Find , , , and , Does 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 to the rest stop. e. It is proposed to supply electricity to the rest stop directly from Big City. How long would the electric lines be? At what angle to the x-axis would the lines have to run? be if they came from the closer of the two towns, Artesia or Brooks?
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