If \(\theta\) is the angle between any two vectors \(\vec{a}\) and \(\vec{b}\), then \(\left|\vec{a}\cdot \vec{b}\right|=\left|\vec{a}\times \vec{b}\right|\) when \(\theta\) is equal to

\(0\) \(\frac{\pi}{4}\) \(\frac{\pi}{2}\) \(\pi\)

\(\frac{\pi}{4}\)

\(\begin{aligned}\text{Given, }|\vec{a}\cdot \vec{b}|&=|\vec{a}\times \vec{b}|\\ |\vec{a}||\vec{b}|\cos \theta &=|\vec{a}||\vec{b}|\sin \theta\\ \tan \theta &=1\\ \theta &=\frac{\pi}{4}\end{aligned}\)