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Question
Write the component of \[\vec{b}\] along \[\vec{a}\]
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Solution
\[\text{ Component of }\vec{b} \text{ on } \vec{a}\text{ is }\]
\[ \left\{ \frac{\vec{a} . \vec{b}}{\left| a \right|} \right\} \hat{a} = \left\{ \frac{\left( \vec{a} . \vec{b} \right)}{\left| \vec{a} \right|^2} \right\} \vec{a} = \frac{\left( \vec{a} . \vec{b} \right) \vec{a}}{\left| \vec{a} \right|^2}\]
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