Coordinate Systems
| Coordinates | Position vector and its differential | Name of coordinate system | Remarks |
|---|---|---|---|
| x, y, z | = ; ; | cartesian | x1, x2, x3 for the coordinates and e1, e2, e3 for the base vectors are also used. This notation easily generalizes to n-mensional space. ex, ey, ex form an orthonormal right-handed system. For the base vectors, i, j, k are also used. |
| ρ, φ, z | = | cylindrical | eρ(φ), eφ(φ), ez form an orthonormal right-handed system. lf z= 0, then ρ and φ are the polar coordinates. |
| r, θ, φ | = r | spherical | er(θ,φ), eθ(θ,φ),eφ(φ) form an orthonormal right-handed system. |
Read more about this topic: ISO 31-11
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—Ralph Waldo Emerson (1803–1882)