Question

If \[\vec{a} = 3 \hat{ i }  - \hat{ j }  + 2 \hat{ k } \] and  \[\vec{b} = 2 \hat { i }  + \hat{ j }  - \hat{ k} ,\]  then find \[\left( \vec{a} \times \vec{b} \right) \vec{a} .\]

 

Answer 1

\[\text{ Since } \vec{a} \times \vec{b} \text{ is a vector, } \left( \vec{a} \times \vec{b} \right) \vec{a} \text{ without any dot or cross product in between is meaningless } .\]