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A golfer, putting on a green, requires three strokes to "hole the ball." During the first...

A golfer, putting on a green, requires three strokes to "hole the ball." During the first putt, the ball rolls 3.1 m due east. For the second putt, the ball travels 3.5 m at an angle of 33.0 ° north of east. The third putt is 0.32 m due north. What displacement ((a) magnitude and (b) direction relative to due east) would have been needed to “hole the ball” on the very first putt?

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