Question

the resultant Ċ of A and B is perpendicular
to A. Also, IĀl =lCl. The angle between vector A
and vector B .​

Answer 1

Answer:

Let θ be the angle between vectors A and B

and ϕ be the angle between resultant C and vector A

ϕ=2π      (since, C is perpendicular to A)                  

We know that,

ϕ=tan−1(A+BcosθBsinθ)......(1)

Magnitude of C=A2+B2+2ABcosθ

By squaring both sides:

C2=A2+B2+2ABcosθ

Since, A=C

A2=A2+B2+2ABcosθ

By this equation we get

A=2cosθ−B.              ....(2)

Putting equation  (2)  in  (1)

ϕ=tan−1⎝⎜⎜⎛2cosθ−B+Bcosθ

Explanation:

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