AT what angle two forces (P +Q) and (P-Q) act so that resultant is ` (i) sqrt(2 P^2 + Q^2) (ii) sqrt(2 P^2 + Q^2) (iii) sqrt(2 P^2 + Q^2) .

Explanation

To solve the problem of finding the angle between the two forces \( (P + Q) \) and \( (P - Q) \) such that the resultant force has specific magnitudes, we can use the formula for the resultant of two vectors. The resultant \( R \) of two forces \( A \) and \( B \) acting at an angle \( \theta \) is given by:

\[ R = \sqrt{A^2 + B^2 + 2AB \cos \theta} \]

### Part (i): Resultant is \( \sqrt{3P^2 + Q^2} \)

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