Write the component of b along a . - Vidyadip

Question

Write the component of $\vec{\text{b}}$ along $\vec{\text{a}}.$

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Answer

Component of $\vec{\text{b}}$ on $\vec{\text{a}}$ is
$\Big\{\frac{\vec{\text{a}}.\vec{\text{b}}}{|\vec{\text{a}}|}\Big\}\hat{\text{a}}=\Bigg\{\frac{\big(\vec{\text{a}}.\vec{\text{b}}\big)}{|\vec{\text{a}}|^2}\Bigg\}\vec{\text{a}}=\frac{\big(\vec{\text{a}}.\vec{\text{b}}\big)\vec{\text{a}}}{|\vec{\text{a}}|^2}$

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