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Foundations of Physics

Cartesian Coordinates

An orthogonal coordinate system that specifies point locations in space using signed distance projections along mutually perpendicular axes (x, y, z).

Governing formula d = √((x2-x1)² + (y2-y1)² + (z2-z1)²)
SI unit m

In depth

Invented by René Descartes, Cartesian coordinates map physical space into linear algebraic components, serving as the foundational coordinate system for Newtonian mechanics.

Examples in the real world

Position vector of a particle in 3D space expressed as r = 3i - 4j + 2k m.