Let \(\vec{a}=\hat{i}+\hat{j}+2 \hat{k}\) and \(\vec{b}=-\hat{i}+2 \hat{j}+3 \hat{k}\). Then the vector product \((\vec{…

Let \(\vec{a}=\hat{i}+\hat{j}+2 \hat{k}\) and \(\vec{b}=-\hat{i}+2 \hat{j}+3 \hat{k}\). Then the vector product \((\vec{a}+\vec{b}) \times((\vec{a} \times((\vec{a}-\vec{b}) \times \vec{b})) \times \vec{b})\) is equal to:

[JEE Main 2021, 27 Jul (Shift 1)]