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The resultant of À and B is perpendicular to AWhat is the angle between A and B? |
Answer» <p>Taking A and B as P and Q</p><p>Letθ be the angle between P and Q. Let the resultant R make an angleα with P. Given thatα = 90°.We have the formulatanα = Q sinθ/(P + Q cosθ)sinα / cosα = Q sinθ/(P + Q cosθ)</p><p>Cross multiplying , we get(P+Q cosθ)sinα =Qsinθcosα(P+Qcosθ)sin90°=Q sinθcos90°(P + Q cosθ) = 0⇒ cosθ =−P/Qθ = cos−1(−P/Q)</p> | |