Question

The vector component of \[\vec{b}\] perpendicular to \[\vec{a}\] is 

Options

• \[\left( \vec{b} . \vec{c} \right) \vec{a}\] 

• \[\frac{\vec{a} \times \left( \vec{b} \times \vec{a} \right)}{\left| \vec{a} \right|^2}\] 

•  \[\vec{a} \times \left( \vec{b} \times \vec{a} \right)\] 

•  None of these 

Answer 1

 \[\frac{\vec{a} \times \left( \vec{b} \times \vec{a} \right)}{\left| \vec{a} \right|^2}\] 

\[\text{ The vector component of } \vec{b} \text{ perpendicular to } \vec{a} \text{ is }\]
\[\frac{\vec{a} \times \left( \vec{b} \times \vec{a} \right)}{\left| \vec{a} \right|^2}\]