ISO 31-11 - Coordinate Systems

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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