If $\vec{a}$ and $\vec{b}$ are two vecto

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If $\vec{a}$ and $\vec{b}$ are two vectors such that $\vec{a}. \vec{b}=|\vec{a}×\vec{b}|,$ then angle between $\vec{a}$ and $\vec{b}$ is:

Options:

0°

30°

90°

45°

Correct Answer:

45°

Explanation:

$\vec{a}. \vec{b}=|\vec{a}×\vec{b}|$

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

$⇒\cos θ=\sin θ$

$⇒θ=45°$