CALCULATOR
3D Cartesian Point Distance Calculator
Find straight-line distance between two Cartesian 3D points. Example: X coordinate of point 1: 0 coordinate units, Y coordinate of point 1: 0 coordinate units, Z coordinate of point 1: 0 coordinate units, X coordinate of point 2: 2 coordinate units, Y coordinate of point 2: 3 coordinate units, Z coordinate of point 2: 6 coordinate units gives 7 coordinate units. Three-dimensional Cartesian coordin
Three-dimensional Cartesian coordinates in a common coordinate unit; not geographic, geodesic or road distance. Six coordinates use one Cartesian coordinate unit; coincident points permitted. Geographic/geodesic distance excluded. Derivation: Pythagorean norm extended to three orthogonal axes.
Accepted inputs: X coordinate of point 1: -1,000,000 to 1,000,000 coordinate units; Y coordinate of point 1: -1,000,000 to 1,000,000 coordinate units; Z coordinate of point 1: -1,000,000 to 1,000,000 coordinate units; X coordinate of point 2: -1,000,000 to 1,000,000 coordinate units; Y coordinate of point 2: -1,000,000 to 1,000,000 coordinate units; Z coordinate of point 2: -1,000,000 to 1,000,000 coordinate units.
straight-line distance between two Cartesian 3D points
How the calculation works
d = √(Δx²+Δy²+Δz²)
Worked example
With x coordinate of point 1 0 coordinate units, y coordinate of point 1 0 coordinate units, z coordinate of point 1 0 coordinate units, x coordinate of point 2 0 coordinate units, y coordinate of point 2 0 coordinate units, z coordinate of point 2 0 coordinate units, straight-line distance between two cartesian 3d points is 0 coordinate units.
Assumptions and limits
Three-dimensional Cartesian coordinates in a common coordinate unit; not geographic, geodesic or road distance. Six coordinates use one Cartesian coordinate unit; coincident points permitted. Geographic/geodesic distance excluded. Derivation: Pythagorean norm extended to three orthogonal axes.