Q.No.2.15: - Suppose the sides of a closed polygon represent vector arranged head to tail. What is the sum of these vectors?

Q.No.2.15: - Suppose the sides of a closed polygon represent vector arranged head to tail. What is the sum of these vectors?

Ans: - We know that the resultant of a number of vectors which make a closed path is equal to zero.  Let the vectors A,B,C,D and E are represented by the sides of a closed polygon, then their sum will be zero because the head of the last vector i.e.; E coincides with the tail of the first vector i.e.; A. Hence

                             A+B+C+D+E=0

(Note that on R.H.S, zero (0) is also a vector not a scalar because vector addition always results in a vector.)