Question

If there are 11 vectors each having a magnitude equal to $|\overrightarrow{p}|$ and if each side of polygon subtends an angle ${30}^0$ at the centre of the polygon. Then the resultant is

• A. $\overrightarrow{p}$
• B. 0
• C. $\frac{\overrightarrow{p}}{2}$
• D. 2$\overrightarrow{p}$

Answer 1

The correct option is A $\overrightarrow{p}$

$12$ vectors at ${30}^0$ can make resultant $\overrightarrow{0}$ due to circular symmetry.

Vector sum of $11$ vector $+12$ vector $=0$

$R+\overrightarrow{p}$$=0$

$R=-$$\overrightarrow{p}$

Hence, resultant vector will be opposite direction of $R$.