Maximum and minimum magnitudes of resultant of two vectors of magnitudes P and Q are in ratio 3:1. W

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3-1.Vectors

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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

Solution

(a) According to problem $P + Q = 3\;{\rm{and }}P – Q = 1$

By solving we get $P = 2\;{\rm{and }}Q = 1$

$\therefore \frac{P}{Q} = 2$

$⇒$ $P = 2Q$

Standard 11

Physics

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