Let \(\overrightarrow{ a }=\hat{ i }+\hat{ j }+\hat{ k }\) and \(\overrightarrow{ b }=\hat{ j }-\hat{ k }\). If \(\overr…

Let \(\overrightarrow{ a }=\hat{ i }+\hat{ j }+\hat{ k }\) and \(\overrightarrow{ b }=\hat{ j }-\hat{ k }\). If \(\overrightarrow{ c }\) is a vector such that \(\vec{a} \times \vec{c}=\vec{b}\) and \(\vec{a} \cdot \vec{c}=3\), then \(\vec{a} \cdot(\vec{b} \times \vec{c})\) is equal to

[JEE Main 2021, 26 Aug (Shift 1)]