Question

Maximum and minimum magnitudes of the resultant of two vectors of magnitude p and q are in the ratio 3:1. Which of the following options is correct?

• A. p=2q
• B. p=q
• C. pq=1
• D. pq=2

Answer 1

The correct option is A

p=2q

$\frac{MaxResultant}{MinResultant}$ = $\frac{p+q}{p-q}$ = $\frac{3}{1}$

$\therefore$ p = 2q