Projection and Dot Product Relation

Projection and Dot Product Relation

If $$\operatorname{comp}_{\vec b}\vec a$$ denotes the scalar component of $$\vec a$$ along $$\vec b$$:

$$\operatorname{comp}_{\vec b}\vec a=\frac{\vec a\cdot\vec b}{|\vec b|}$$

Usage

- Used to directly obtain the signed projection of one vector along another.