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NEET UG PHYSICS MCQ: MOTION IN PLANE

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Analyzing +4 | -1
Two vectors A⃗ and B⃗\mathrm{\vec A}\,and\,\mathrm{\vec B} are inclined at an angle θ\theta. Now if the vectors are interchanged then the resultant turns through an angle β\beta. Which of the following relation is true
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Correct option: B
tan⁡α2=(A−BA+B)tan⁡θ2\tan \frac{\alpha }{2} = {\left( {\frac{{A - B}}{{A + B}}} \right)}\tan \frac{\mathrm{\theta }}{2}
Option B is correct because it represents the correct relationship between the angle of the resultant and the angle between the vectors when they are interchanged.

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