# Illustration Orthonormal basis vectors - Cartesian coordinate system

Three-dimensional Cartesian (orthogonal) coordinate system spanned by the following three basis vectors:$\boldsymbol{\hat{e}}_x ~=~ \begin{bmatrix} 1 \\ 0 \\ 0 \end{bmatrix}, ~~\boldsymbol{\hat{e}}_y ~=~ \begin{bmatrix} 0 \\ 1 \\ 0 \end{bmatrix}, ~~\boldsymbol{\hat{e}}_z ~=~ \begin{bmatrix} 0 \\ 0 \\ 1 \end{bmatrix}$