Question

What is the angle between two vectors if the ratio of magnitudes of their dot product and cross product is √3 ?​

Answer 1

The correct option is C

Let A and B be the two vectors

given,

∣A×B∣=3

2

1

∣A.B∣

ABsinθ=3

2

1

ABcosθ

sin

2

θ=3cos

2

θ

cos

2

θ=

4

1

cosθ=±

2

1

θ=

3

π

or

3

2π