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Two vectors \(\vec{P}\) and \(\vec{Q}\) have equal magnitudes. If the magnitude of \(\vec{P}+\vec{Q}\) is \(n\) times th…

Q1

Two vectors \(\vec{P}\) and \(\vec{Q}\) have equal magnitudes. If the magnitude of \(\vec{P}+\vec{Q}\) is \(n\) times the magnitude of \(\vec{P}-\vec{Q}\), then angle between \(\vec{P}\) and \(\vec{Q}\) is:

a

\({\sin }^{-1}\left(\frac{{n}^{2}-1}{{n}^{2}+1}\right)\)

b

\({\cos }^{-1}\left(\frac{{n}^{2}-1}{{n}^{2}+1}\right)\)

c

\({\sin }^{-1}\left(\frac{n-1}{n+1}\right)\)

d

\({\cos }^{-1}\left(\frac{n-1}{n+1}\right)\)

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