If A and B are two vectors and θ is the angle between them, if (A x B) = √3 (A. B), the value of θ is

Options

(a) 45°
(b) 30°
(c) 90°
(d) 60°

Correct Answer:

60°

Explanation:

| A⃗ x B⃗ | = √3 (A⃗.B⃗)
⇒ AB sin θ = √3AB cos θ
⇒ tan θ = √3 ⇒ θ = 60°