Let \(\left|\vec{a}\right|=2,\left|\vec{b}\right|=3\) and the angle between the vectors \(\vec{a}\text{ and }\vec{b}\tex…

Let \(\left|\vec{a}\right|=2,\left|\vec{b}\right|=3\) and the angle between the vectors \(\vec{a}\text{ and  }\vec{b}\text{  be   }\frac{\pi }{4}.\) Then \({\left|\left(\vec{a}+2\vec{b}\right)\times \left(2\vec{a}−3\vec{b}\right)\right|}^{2}\) is equal to

[JEE Main 2023, 13 Apr (Shift 2)]