Mathematics - Vector Question with Solution | TestHub

Let$\theta$be the angle between the vectors$\overrightarrow{a}$and$\overrightarrow{b}$, where$\left|\overrightarrow{a}\right|=4,\left|\overrightarrow{b}\right|=3$and$\theta \in \left(\frac{\pi }{4},\frac{\pi }{3}\right)$. Then${\left|\left(\overrightarrow{a}-\overrightarrow{b}\right)\times \left(\overrightarrow{a}+\overrightarrow{b}\right)\right|}^2+4{\left(\overrightarrow{a}·\overrightarrow{b}\right)}^2$is equal to ______