QJEEM22Ph44ba: JEE Main 2022 Physics - Class 11 JEEM22Ph44ba Solution: Which of the following relations is true for two unit vector…

Question

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Which of the following relations is true for two unit vector $\widehat A$ and $\widehat B$ making an angle $\theta$ to each other?

Accepted Answer

$\because$ $\left| {\widehat A - \widehat B} \right| = 2\sin \left( {{\theta \over 2}} \right)$

and, $\left| {\widehat A + \widehat B} \right| = 2\cos \left( {{\theta \over 2}} \right)$

$\Rightarrow {{\left| {\widehat A - \widehat B} \right|} \over {\left| {\widehat A + \widehat B} \right|}} = \tan \left( {{\theta \over 2}} \right)$

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