Point P partitions the directed line segment from A to B into ratio 3:4. Will P be closer to A or B? Why?
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Point P will be closer to A.
Distance of point A from P is 3/7 the distance from A to B.
Distance of point B to P is 4/7 the distance from A to B.
3/7 is greater than 4/7.
That is why point P is closer to A if point P partitions the directed line segment from A to B into ratio 3:4.
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