Unit vector ($\Vert v\Vert =1$)

A unit vector is a vector that has a magnitude of exactly one. Unit vectors are typically used to indicate direction without regard to magnitude. In mathematical terms, a unit vector is often denoted with a "hat" symbol, such as \(\hat{u}\). For any vector \(\mathbf{v}\), the unit vector in the direction of \(\mathbf{v}\) can be computed by dividing the vector by its magnitude (or length).