30. Two vectors P and Q are inclined at an angle.
With necessary diagram prove that :R = ඥP2 + Q2 + 2P Qcos θ
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When two vectors of magnitudes P and Q are inclined at an angle θ, the magnitude of their resultant is 2P. When the inclination is changed to 180
o
−θ, the magnitude of the resultant is halved. Find the ratio of P to Q.
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