Maximum and minimum magnitudes of the resultant of two vectors of magnitudes P and Q are found in the ratio 3:1. which of the following relations are true?
A) P=Q
B) P=2Q
C) P=4Q
D) P=Q/3
Answers
Answered by
4
P=2 Q is correct relation.
2 is correct option.
Explanation:
Given that,
Two vectors of magnitudes P and Q are found to be in a ratio 3:1.
The magnitude of two vectors will be maximum when they are added together and minimum they are subtract.
We have,
P = 2Q
The maximum magnitude is
P+Q=2Q+Q=3QP+Q=2Q+Q=3Q
The minimum magnitude is
P-Q=2Q-Q=QP−Q=2Q−Q=Q
The ratio of the maximum and minimum magnitude of two vectors is
(P+Q):(P-Q)=3:1(P+Q):(P−Q)=3:1
Hence, P=2Q is correct relation.
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