Question

A resultant of two vector makes 30 degree with one vector and 45° with the other. find the two vector if the resultant has the magnitude 15

Answer 1

vector A such that :
β = 300
θ =750
and 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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