Question

Write the angle between the vectors  \[\vec{a} \times \vec{b}\]  and  \[\vec{b} \times \vec{a}\] .

 

 

Answer 1

\[\vec{b} \times \vec{a}\] \[- \vec{a} \times \vec{b}\]

So,  

\[\vec{a} \times \vec{b}\] and  \[\vec{b} \times \vec{a}\]  are vectors of same magnitude but opposite in directions. 

Thus, the angle between the vectors  \[\vec{a} \times \vec{b}\]  and  \[\vec{b} \times \vec{a}\]  is 180º.