Question

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?

• A. $\frac{V}{N}$
• B. V
• C. Zero
• D. $\frac{N}{V}$

Answer 1

Answer: (C)

Zero

Answer 2

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.