when two vectors magnitude A and B are inclined at angle thetha. The magnitude their resultant 2A If the first vector is double the magnitude of resultant become 3A Find the ratio of A square and B square?
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Answer:
When the angle is θ, the magnitude of resultant is
2P=P2+Q2+2PQcosθ (1)
When the angle is 180−θ, the magnitude of resultant is
P=P2+Q2+2PQcos(180−θ) (2)
Squaring and adding the two equations, we get
2P2+2Q2=5P2
2Q2=3P2
QP=32
Explanation:
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