Ruth sets out to visit her friend Ward, who lives 50 mi north and 100 mi east of her. She starts by driving east, but after 60 mi she comes to a detour that takes her 15 mi south before going east again. She then drives east for 8 mi and runs out of gas, so Ward flies there in his small plane to get her.
Part A
What is Ward's displacement vector? Give your answer in component form, using a coordinate system in which the y-axis points north.
Express your answers using two significant figures separated by a comma.
rx, ry = mi
Part B
What is the magnitude of Ward's displacement vector?
Express your answer to two significant figures and include the appropriate units.
Part C
What is the direction of Ward's displacement vector, measured clockwise from the negative y axis?
Express your answer using two significant figures.
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