Resolution of a Vector

Resolution of a Vector

A vector can be resolved into parallel and perpendicular components with respect to $$\vec b$$:

$$\vec a=\vec a_{\parallel}+\vec a_{\perp}$$

where:

$$\vec a_{\parallel}=\frac{\vec a\cdot\vec b}{|\vec b|^2}\vec b$$

Usage

- Used in vector decomposition problems.