MathLiveEuclidean distance
Gives the straight-line distance between two points or vectors in Euclidean space, computed as the norm of their difference. It is the conventional notion of distance in geometry and physics.
d(\boldsymbol{x},\boldsymbol{y}) = \|\boldsymbol{x}-\boldsymbol{y}\|What the symbols mean
| Euclidean distance between points x and y | |
| first Euclidean vector (point) | |
| second Euclidean vector (point) | |
| Euclidean norm of the vector difference x minus y |
About this formula
- FieldMathematics
- TopicMetric spaces and distance
- LevelHigh school
- Also calleddistance between two points, distance, Pythagorean distance, Euclidean norm of difference, distance formula, distance between vectors
- SourceWikidata Q847073
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “euclidean distance”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.