JEE Main 2022 · 29 Jun · Shift 1 · Physics Q43

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PhysicsSingle correct+4 / -1Question 43 of 90

Two vectors $\vec A$ and $\vec B$ have equal magnitudes. If magnitude of $\vec A+\vec B$ is equal to two times the magnitude of $\vec A-\vec B$ , then the angle between $\vec A$ and $\vec B$ will be :

\sin^{-1}\left(\dfrac35\right)

\sin^{-1}\left(\dfrac13\right)

\cos^{-1}\left(\dfrac35\right)

\cos^{-1}\left(\dfrac13\right)

Answer and worked solution

Official answer: C

Equal magnitudes. $2+2\cos\theta=4(2-2\cos\theta)$ , so $\cos\theta=\frac35$ .

(C)

Topics:Vectors

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JEE Main 2022 · 29 Jun · Shift 1, Physics question 43