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Directed Line Segment

A directed line segment is a line segment with a direction and distance. Unlike a vector, however, a directed line segment has a unique start and end point. The starting point, also called the initial point, can be identified by following the direction of the line segment.
Directed Line Segment
When determining the position of a point that partitions the line segment into a specific ratio, the direction of the line segment is important to know.
Directed line segment AB is partitioned by point P into a 1:2 ratio and by point M into a 2:1 ratio.

As shown on the line, point partitions the directed line segment into a ratio. That implies is the starting point where one part is followed by two parts of three parts total. Conversely, the same point partitions the directed line segment into a ratio. In that case, the starting point is where two parts are followed by one part of three parts total.