Question

Given that |⃗a ×b ⃗ | = √3 ⃗ a.⃗b then what is the angle between ⃗ aand ⃗⃗ b?​

Answer 1

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Angle between A and B is 60° or π/3 rad

Explanation:

We know that

|A × B| = ABsinФ

A·B = ABcosФ

Therefore,

|⃗A ×B ⃗ | = √3 ⃗ A.⃗B

ABsinФ = √3 ABcosФ

sinФ = √3 cosФ

sinФ/cosФ = √3

tanФ = √3

Ф = 60° or π/3 rad