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Directed Line Segment
Figure 10.1.1 shows a directed line segment from the point P to the point Q. Figure 10.1.1 We pictorially represent a directed line segment as an arrow from P to Q, and use the symbol . Mathematically, a directed line segment is most easily represented as an ordered pair of points. The directed line segment from P to Q, in symbols , is the ordered pair of points (P, Q). P is called the initial point, and Q, the terminal point, of the directed line segment. The directed line segments and are considered to be different, has initial point Q and terminal point P. If P(p_{l}, p_{2}) and Q(q_{t}, q_{2}) are two points in the plane, the xcomponent of is the increment q_{l}  p_{1} of x from P to Q, and the ycomponent is the increment q_{2}  p_{2} of y, as shown in Figure 10.1.2. xcomponent of = q_{x}  p_{x}. ycomponent of = q_{2}  p_{2}. Figure 10.1.2


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