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Two vectors vec(A) and vec(B) have equal...

Two vectors `vec(A)` and `vec(B)` have equal magnitudes . If magnitude of `vec(A) + vec(B)` is equal to `n times` the magnitude of `vec(A) - vec(B)` , then the angle between `vec(A)` and `vec(B)` is

A

`cos^(-1) [(n^(2) -1)/(n^(2) + 1)]`

B

`cos^(-1) [(n -1)/(n+ 1)]`

C

`sin^(-1) [(n^(2) -1)/(n^(2) + 1)]`

D

`sin^(-1) [(n -1)/(n+1)]`

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