JEE Main 2022 · 25 Jun · Shift 1 · Physics Q33

PhysicsSingle correct+4 / -1Question 33 of 90

Which of the following relations is true for two unit vector $\hat A$ and $\hat B$ making an angle $\theta$ to each other ?

|\hat A+\hat B|=|\hat A-\hat B|\tan\dfrac\theta2

|\hat A-\hat B|=|\hat A+\hat B|\tan\dfrac\theta2

|\hat A+\hat B|=|\hat A-\hat B|\cos\dfrac\theta2

|\hat A-\hat B|=|\hat A+\hat B|\cos\dfrac\theta2

Answer and worked solution

Official answer: B

Magnitudes. $|\hat A+\hat B|=2\cos\frac\theta2$ and $|\hat A-\hat B|=2\sin\frac\theta2$ .

So $|\hat A-\hat B|=|\hat A+\hat B|\tan\frac\theta2$ .

(B)

Topics:Vectors

JEE Main 2022 · 25 Jun · Shift 1, Physics question 33