Question

Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are in the ratio $3:1.$ Which of the following relations is true

• A. $P = 2Q$
• B. $P = Q$
• C. $PQ = 1$
• D. None of these

Answer 1

Answer: (A)

$P = 2Q$

Answer 2

According to problem $P + Q = 3\mspace{6mu}\text{and }P - Q = 1$

By solving we get$P = 2\mspace{6mu}\text{and }Q = 1$∴ $\frac{P}{Q} = 2$⇒ $P = 2Q$