Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If $|\vec a.\vec b|=|\vec a×\vec b|$, then the angle between $\vec a$ and $\vec b$, is

Options:

180°

150°

45°

Correct Answer:

45°

Explanation:

We have,

$|\vec a.\vec b|=|\vec a×\vec b|$

$⇒|\vec a||\vec b||\cos θ|=|\vec a||\vec b|\sin θ$

$⇒|\cos θ|=\sin θ$

$⇒θ=45°,135°$