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