Let \(\vec{a}=\overset{^}{i}+\overset{^}{j}+2\overset{^}{k}\) and \(\vec{b}=-\overset{^}{i}+2\overset{^}{j}+3\overset{^}…

Let \(\vec{a}=\overset{^}{i}+\overset{^}{j}+2\overset{^}{k}\) and \(\vec{b}=-\overset{^}{i}+2\overset{^}{j}+3\overset{^}{k}\). 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)]