JEE Main & Advanced
Mathematics
Vector Algebra
Question Bank
Numerical Value Type Questions - Vector Algebra
question_answer
Let \[\vec{u}=\hat{i}+\hat{j},\,\,\,\vec{v}=\hat{i}-\hat{j}\] and \[\vec{w}=\hat{i}+2\hat{j}+3\hat{k}.\] If \[\hat{n}\] is a unit vector such that \[\vec{u}.\hat{n}=0\] and \[\vec{v}.\hat{n}=0,\] then \[\left| \vec{w}.\hat{n} \right|\] is equal to