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
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
$P = 2Q$
$P = Q$
$PQ = 1$
None of these
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
According to problem $P + Q = 3\;{\rm{and }}P - Q = 1$
By solving we get $P = 2\;{\rm{and }}Q = 1$
$\therefore \frac{P}{Q} = 2$
$⇒$ $P = 2Q$