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The angle between two vector $\vec{A} and \vec{B}$ is $θ$ Resultant of these vectors $\vec{R}$ makes an angle $\frac{θ}{2}$ with $\vec{A}$ . Then the correct relation is

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$\vec{A} = 2 \vec{B}$

$\vec{A} = \frac{\vec{B}}{2}$

$|\vec{A}| = |\vec{B}|$

$AB = 1$

answer is C.

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Detailed Solution

$\tan θ /2 = \frac{B \sin θ}{A + B \cos θ} = \frac{2 B \sin θ /2 . \cos θ /2}{A + B (2 \cos θ /2 - 1)}$ Solving this we get A = B

Hence Option C is the correct answer

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