Two vectors barA and barB have precisely equal magnitudes. If magnitude of barA+ barB to be larger than the magnitude of barA- barB by a factor n, the angle between them is.

Question

Two vectors barA and barB have precisely equal magnitudes. If magnitude of barA+ barB to be larger than the magnitude of barA- barB by a factor n, the angle between them is. (A) 2 tan-1(1/n) (B) tan-1(1/n) (C) tan-1(1/2n) (D) 2 tan-1(1/2n)

Tardigrade Admin · Accepted Answer

Correct answer is (a) 2 tan-1(1/n)

Q. Two vectors $\overset{ˉ}{A}$ and $\overset{ˉ}{B}$ have precisely equal magnitudes. If magnitude of $\overset{ˉ}{A} + \overset{ˉ}{B}$ to be larger than the magnitude of $\overset{ˉ}{A} - \overset{ˉ}{B}$ by a factor n, the angle between them is.

2 tan $^{- 1} (1/ n)$

tan $^{- 1} (1/ n)$

tan $^{- 1} (1/2 n)$

2 tan $^{- 1} (1/2 n)$

Correct answer is (a) 2 tan $^{- 1} (1/ n)$

Q. Two vectors Aˉ and Bˉ have precisely equal magnitudes. If magnitude of Aˉ+Bˉ to be larger than the magnitude of Aˉ−Bˉ by a factor n, the angle between them is.

2 tan−1(1/n)

tan−1(1/n)

tan−1(1/2n)

2 tan−1(1/2n)