A golfer, putting on a green, requires three strokes to "hole the ball." During the first putt, the ball rolls 5.9 m due east. For the second putt, the ball travels 2.8 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?