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:
Answer & explanation
Correct answer: option 4
$\vec{a}. \vec{b}=|\vec{a}×\vec{b}|$
so $|\vec a||\vec b|\cos θ=|\vec a||\vec b|\sin θ$
$⇒\cos θ=\sin θ$
$⇒θ=45°$