Exercise 7-10: A butterfly is flying in a garden. First it travels due south for 6.0 m and then 37 W of N for 10 m. Assuming that the positive x-direction is east, and the positive y-direction is north,

(a) what are the coordinates of the butterfly's final position relative to its initial position?
(b) what are the magnitude and direction of the displacement of the butterfly (relative to its initial position)?

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