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Addition of Vectors Using Polygon Method

ADDITION OF VECTORS USING POLYGON METHOD 

Let three coplanar vectors f1 F2and F; act at O1. (Ref Fig. 2.3(a))

We take a point 02 in the same plane and from 02 we draw the vectors F1 F2and F3 in any order to some scale. We close the polygon by dashed vector which represents the sum of the  Vectors.

Fig. 2.3 (b) and 2.3(c) both give the same vector.

 

The polygon summation process can be used as a graphical process. We can also use trigonometry to find the final vector.

Suppose Coplanar vectors A, B, C and D are given. We have to form A+ B-C-D. Refer  Fig. 2.4(a) and 2.4(b)