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Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Motion in a Plane
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The angle between two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ is $\theta$ . Resultant of these two vectors is $ \overrightarrow{R}$ Which makes an angle of $\large\frac{\theta}{2}$ with $\overrightarrow{A}$. Which of the following is true?

$\begin{array}{1 1}(A)\;A=2B \\(B)\;A=B \\(C)\;B=2A\\(D)\;A= 1/B \end{array} $

Can you answer this question?
 
 

1 Answer

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$\tan \large\frac{\theta}{2}=\frac{B \sin \theta}{A+B \cos \theta} = \large\frac{2B \sin \theta/2 \cos \theta/2}{A+B ( 2 \cos \theta/2 -1)}$
Solving this we get,
$A=B$
Hence B is the correct answer.
answered Jul 16, 2014 by meena.p
 

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