Euclidean distance formula
Gives the straight-line distance between two points in three-dimensional space from the differences of their coordinates. It is used throughout geometry, physics and computing whenever the shortest direct separation between two points is needed.
d=\sqrt{(\Delta x)^2+(\Delta y)^2+(\Delta z)^2}What the symbols mean
| straight-line distance between the two points | |
| difference in x-coordinates of the two points | |
| difference in y-coordinates of the two points | |
| difference in z-coordinates of the two points |
About this formula
- FieldMathematics
- TopicEuclidean geometry
- LevelHigh school
- Also calleddistance between two points, straight-line distance, Euclidean distance in 3D, distance formula, 3D distance formula, Pythagorean distance between points
- SourceWikidata Q126017
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