Spatial geometry
3D coordinate span
Inputs
First point, x coordinate.
First point, y coordinate.
First point, z coordinate.
Second point, x coordinate.
Second point, y coordinate.
Second point, z coordinate.
Results
x displacementΔx
300
y displacementΔy
400
z displacementΔz
120
Straight-line spand
514.2
d = √[(x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²]
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Section geometry · Right-triangle frame · Cylinder geometry · Circular arc & segment
Method
Formula, when it applies, and when it does not
Inspect a displacement vector and straight-line span between two three-dimensional points in a coordinate unit.
d = √[(x₂−x₁)² + (y₂−y₁)² + (z₂−z₁)²]
When
- Cartesian coordinates
- Common coordinate unit
- Straight-line distance
Don’t
- Coordinates must share one origin, axis convention, and unit. The result is a straight-line geometric span, not a routed path or a tolerance analysis.
Elementary geometry — standard results