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14. A resultant of two vectors makes 30° with one vector and 45° with the other. Find the tovectors if the resultant has the magnitude 15.[Hint: Law of sinesP Q RSİnß sin α sin θ, by geometry θα + β า |
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Answer» Vector A such that :β = 300θ =750and R = 15 As the resultant R makes an angle β with the direction of vector A.Hence, tan β = tan 300 = Solving, we get :A = 1.41 B .........(1)and resultant is given by :R = Putting R = 15, A = 1.41 B and θ = 750 in above equation, we get :B = 7.81 Substituting value of B in eq. 1, we get :A = 11.01 |
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