JEE Main & Advanced
Mathematics
Vector Algebra
Question Bank
Mock Test - Vector Algebra
question_answer
Points \[\vec{a},\,\,\vec{b},\,\,\vec{c}\] and \[\vec{d}\] are coplanar and \[(\sin \alpha )\]\[\vec{a}+(2sin2\beta ).\vec{b}+(3sin3\gamma )\vec{c}\,-\vec{d}=\vec{0}\].then the least value of \[{{\sin }^{2}}\alpha +{{\sin }^{2}}2\beta +{{\sin }^{2}}3\gamma \]is ______.