First slide

Vectors

Question

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

Easy

A

$\frac{V}{N}$
B

V
C

Zero
D

$\frac{N}{V}$

Solution

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

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