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A golfer, putting on a green, requires three strokes to "hole the ball." During the first putt, the ball rolls 4.0 m due east. For the second putt, the ball travels 3.1 m at an angle 20° north of east. The third putt is 0.50 m due north. What displacement (magnitude and direction relative to due east) would have been needed to "hole the ball" on the very first putt? magnitude m direction ° (north of due east) Please show all work.

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