JEE Main 202225 Jun, Morning shiftMathematicsHardVector Algebra184× since 2002Let θ\thetaθ be the angle between the vectors a→\overrightarrow aa and b→\overrightarrow bb, where ∣a→∣=4,|\overrightarrow a | = 4,∣a∣=4, ∣b→∣=3|\overrightarrow b | = 3∣b∣=3 and θ∈(π4,π3)\theta \in \left( {{\pi \over 4},{\pi \over 3}} \right)θ∈(4π,3π). Then ∣(a→−b→)×(a→+b→)∣2+4(a→ . b→)2{\left| {\left( {\overrightarrow a - \overrightarrow b } \right) \times \left( {\overrightarrow a + \overrightarrow b } \right)} \right|^2} + 4{\left( {\overrightarrow a \,.\,\overrightarrow b } \right)^2}(a−b)×(a+b)2+4(a.b)2 is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution