Skip to main content
  1. Home
  2. Illustrations
  3. 📖
Level 2
Level 2 requires school mathematics. Suitable for pupils.

Illustration Orthonormal basis vectors - Cartesian coordinate system

Orthonormal basis vectors - Cartesian coordinate system
Download

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

Sharing and adapting of the illustration is allowed with indication of the link to the illustration.

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

The three basis vectors are orthonormal, i.e. orthogonal to each other and normalized.

Details about the illustration
  • License: CC BY 4.0This illustration may be used with indication of the copyright!
  • Copyright: © 2021
  • This illustration was uploaded by FufaeV on .
  • This illustration was updated by FufaeV on .