VECTORS: RESULTANTS AND COMPONENTSVectorsCP-02Page 8Rev. 0Figure 8 Vector Addition in Same DirectionFigure 9 Vector Addition in Opposite DirectionsVECTORS: RESULTANTS AND COMPONENTSA resultant is a single vector which represents the combined effect of two or more othervectors (called components). The components can be determined either graphicallyor by using trigonometry.EO 1.1DEFINE the following as they relate to vectors:c.Vector componentd.ResultantEO 1.2DETERMINE components of a vector from a resultantvector.ResultantWhen two or more vectors are added they yieldthe sum or resultantvector. A resultant vector isthe result or sum of vector addition. Vectoraddition is somewhat different from addition ofpure numbers unless the addition takes place alonga straight line. In the latter case, it reduces to thenumber line of standards or scale addition. Forexample, if one walks five miles east and thenthree miles east, he is eight miles from his startingpoint. On a graph (Figure 8), the sum of the twovectors, i.e., the sum of the five miles plus thethree mile displacement, is the total or resultantdisplacement of eight miles.Similarly, if one walks five miles eastand then three miles west, the resultantdisplacement is two miles east (Figure9).The vector diagrams of Figure 8 andFigure 9 are basically scale diagrams ofwhat is happening in the real world ofaddition of vector quantities.

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