Question

If the components of a force are P along east and P along north directions, then the force is:

• A. $P$
• B. $\frac{P}{2}$
• C. $\sqrt{2}P$
• D. 2P

Answer 1

Answer: (C)

$\sqrt{2}P$

Vector addition formula: $R=\sqrt{A^2+B^2+2A.Bcos\theta }$
Here, $\theta =\frac{\pi }{2}$
So, $R=\sqrt{P^2+P^2}=\sqrt{2}P$