Let \(\vec{a}\) and \(\vec{b}\) are two non-zero vectors perpendicular to each other and \(|\vec{a}|=|\vec{b}|\). If \(|…

Let \(\vec{a}\) and \(\vec{b}\) are two non-zero vectors perpendicular to each other and \(|\vec{a}|=|\vec{b}|\). If \(|\vec{a}\times \vec{b}|=|\vec{a}|\), then the angle between the vectors \((\vec{a}+\vec{b}+(\vec{a}\times \vec{b}))\) and \(\vec{a}\) is equal to:

[JEE Main 2021, 18 Mar (Shift 2)]