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  4. There are N coplanar vectors each of magnitude V. Each vector is inclined to the preceding vector at angle (2 π/N) . What is the magnitude of their resultant?

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Q. There are N coplanar vectors each of magnitude V. Each vector is inclined to the preceding vector at angle $\frac{2 \pi}{N} .$
What is the magnitude of their resultant?

Motion in a Plane

Solution:

Since each of N-coplanar vector is inclined at $\frac{2 \pi}{N}$ to the preceding hence, they will form a closed polygon. Therefore, their resultant must be zero.