Let \(\hat{a}\) and \(\hat{b}\) be two unit vectors such that \(|(\hat{a}+\hat{b})+2(\hat{a} \ti....

Let \(\hat{a}\) and \(\hat{b}\) be two unit vectors such that \(|(\hat{a}+\hat{b})+2(\hat{a} \times \hat{b})|=2\). If \(\theta \in(0, \pi)\) is the angle between \(\hat{a}\) and \(\hat{b}\), then among the statements :\((S_1)\) : \(2|\hat{a} \times \hat{b}|=|\hat{a}-\hat{b}|\)\((S_2)\) : The projection of \(\hat{\boldsymbol{a}}\) on \((\hat{\boldsymbol{a}}+\hat{\boldsymbol{b}})\) is \(\frac{1}{2}\) 📲PW App Link - bit.ly/YTAI_PWAP 🌐PW Website - www.pw.live/