First slide

Vectors

Question

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

Moderate

A

P = 2Q
B

P = Q
C

PQ = 1
D

None of these

Solution

According to problem P+Q = 3 and P-Q = 1
By solving we get P = 2 and Q = 1
$∴ \frac{P}{Q} = 2 \Rightarrow P = 2 Q$

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