Scalar component of a vector along another vector for JEE

Formula

\(\operatorname{comp}_{\vec{b}}\vec{a}=\dfrac{\vec{a}\cdot\vec{b}}{|\vec{b}|}=|\vec{a}|\cos\theta\)

Variables: \(\theta\) is the angle between \(\vec{a}\) and \(\vec{b}\).

Conditions: \(\vec{b}\neq\vec{0}\).

Resolved part of a vector along a given direction.