Ruth sets out to visit her friend Ward, who lives 50miles north and 100 miles east of her. She starts by driving east, but after 70 miles she comes to a detour that takes her 15miles south before going east again. She then drives east for 8 miles and runs out of gas, so Ward flies there in his small plane to get her. What is Ward’s displacement vector? Give your answer in component form, using a coordinate system in which the y-axis points north. What is the magnitude of Ward’s displacement vector? What is the direction of Ward’s displacement vector, measured clockwise from the negative y axis?