Two vectors $\vec A$ and $\vec B$ have equal magnitudes. The magnitude of $(\vec A + \vec B)$ is $‘n’$ times the magnitude of $(\vec A - \vec B)$. The angle between $ \vec A$ and $\vec B$ is
Two vectors $\vec A$ and $\vec B$ have equal magnitudes. The magnitude of $(\vec A + \vec B)$ is $‘n’$ times the magnitude of $(\vec A - \vec B)$. The angle between $ \vec A$ and $\vec B$ is
- [JEE MAIN 2019]
- [JEE MAIN 2021]
- A
${\cos ^{ - 1}}\left[ {\frac{{{n^2} - 1}}{{{n^2} + 1}}} \right]$
- B
${\cos ^{ - 1}}\left[ {\frac{{n - 1}}{{n + 1}}} \right]$
- C
${\sin ^{ - 1}}\left[ {\frac{{{n^2} - 1}}{{{n^2} + 1}}} \right]$
- D
${\sin ^{ - 1}}\left[ {\frac{{n - 1}}{{n + 1}}} \right]$
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- [AIIMS 2009]
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- [AIPMT 2003]