If \(\theta\) is the angle between any two vectors \(\vec{a}\) and \(\vec{b}\), then \(|\vec{a}\cdot \vec{b}|=|\vec{a}\times \vec{b}|\) when \(\theta\) is equal to
Answer & explanation
Correct answer: option 2
\(\begin{aligned}|\vec{a}||\vec{b}|\cos \theta&=|\vec{a}||\vec{b}|\sin \theta \\ \tan \theta&=1\\ \theta&=\frac{\pi}{4}\end{aligned}\)