​ If a and b are two vectors such that \(|\vec{a}.\;\vec{b}| = |\vec{a}\times \vec{b}|,\)

Question

If \(\vec{a}\) and  \(\vec{b}\) are two vectors such that \(|\vec{a}.\;\vec{b}| = |\vec{a}\times \vec{b}|,\)what is the angle between \(\vec{a}\) and \(\vec{b}\)

Answer 1

⇒ cosθ = sinθ ⇒ θ = \(\frac{\pi}{4}\)