Take a [[Vector]] $\vec{v}$ and find the [[Unit Vector]] in the same [[Vector Direction|direction]]. To *calculate* the normal of a variable is to divide the vector by its [[Vector Magnitude|magnitude]]. $\huge\begin{align*} \op{normalize}(\vec{v}) &= \frac{1}{\norm {\vec v} } \vec{v}\\ \end{align*}$ ## Usage To find if two vectors have the same [[Vector Direction|direction]], their normalized forms will be equal. $ \huge \theta({\vec u}) = \theta(\vec v) \iff \hat u = \hat v $