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Vector Algebra

Question
CBSEENMA12036245
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The resultant R of two forces acting on a particle is at right angles to one of them and its magnitude is one-third of the other force. The ratio of larger force to smaller one is 

  • 2 : 1

  • 3 colon square root of 2

  • 3:2

  • 3 colon 2 square root of 2

Solution

D.

3 colon 2 square root of 2
F′ = 3F cos θ
F = 3F sin θ
rightwards double arrow space straight F apostrophe space equals 2 square root of 2 space straight F straight F colon straight F apostrophe space colon colon space 3 colon 2 square root of 2

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