Question

There are $N$ co-planar vectors each of magnitude $V$. Each vector is inclined to the preceding vector at angle $2\pi /N$. What is the magnitude of their resultant?

• A. zero
• B. $V/N$
• C. $V$
• D. $NV$

Answer 1

The correct option is A zero

When vectors are arranges at an angle $\frac{2\pi }{N}$ to the preceding vectors, they form an N-sided closed polygon. Adding all the sides of a polygon we get the resultant to be 0.