Let \(\vec{a}=2\overset{^}{i}+3\overset{^}{j}+3\overset{^}{k}\) and \(\vec{b}=6\overset{^}{i}+3\overset{^}{j}+3\overset{…

Let \(\vec{a}=2\overset{^}{i}+3\overset{^}{j}+3\overset{^}{k}\) and \(\vec{b}=6\overset{^}{i}+3\overset{^}{j}+3\overset{^}{k}\). Then the square of the area of the triangle with adjacent sides determined by the vectors \((2 \vec{a}+3 \vec{b})\) and \((\vec{a}-\vec{b})\) is:

[JEE Main 2026, 6 Apr (Shift 2)]