R3

r3 is a designation used in different fields. In mathematics and physics, it is commonly written as R^3 to denote three-dimensional real space, the set of all ordered triples (x, y, z) of real numbers. In informal text, people sometimes write r3 or r3 to refer to the same concept.

In mathematics and geometry, R^3 forms a real vector space of dimension three with standard operations of addition and scalar multiplication. Points in R^3 are equipped with the Euclidean metric, d((x,y,z),(x',y',z')) = sqrt[(x−x')^2+(y−y')^2+(z−z')^2]. This space serves as the natural setting for 3D geometry, physics, computer graphics, and modeling of spatial phenomena. Canonical basis vectors i, j, k provide coordinates along orthogonal axes.

In blockchain and finance, R3 is an enterprise technology company known for developing the distributed ledger platform Corda. Formed as a consortium of financial institutions in 2015, R3 aims to accelerate the adoption of blockchain technology in regulated industries by enabling secure, private, and scalable collaboration across organizations. The R3 ecosystem includes partner companies, developers, and open-source components.

Other uses: The label r3 may appear in various non-technical contexts as an acronym, version number, or identifier depending on the domain.