The 3D Distance Formula
Distance = √[(x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²]
This extends the familiar 2D distance formula (itself derived from the Pythagorean theorem) into three dimensions by adding a third coordinate axis.
Using This for 2D Problems
Simply leave both z-coordinates at 0 to reduce this to the standard 2D distance formula between two points on a plane.
Applications
- 3D modeling, game development, and computer graphics
- Physics problems involving points in three-dimensional space
- Engineering calculations involving spatial coordinates