A unit vector is a [[Vector]] with [[Vector Magnitude|magnitude]] of 1, and is the result of [[Vector Normalization]]. All unit vectors form the [[Unit Circle]]. Semi-common notation for a unit vector is to add a hat to any character instead of an arrow. $\huge\begin{align*} \norm{\hat{v}} &= 1 \end{align*}$ ### Usage To find a vector with the direction of [[Vector]] $\vec v$ with a magnitude of $s$, multiply the normal vector by the magnitude, ${s\hat v}$.