The Euclidean distance can be defined as the length of the line segment joining the two data points plotted on an n-dimensional Cartesian plane. For example, consider two points plotted in a 2D plane:
Euclidean distance
The distance, d, between the two points gives us the Euclidean distance and its formula in the 2D space is given in the preceding graph.
More generally, consider two n-dimensional points (or vectors):
- v1: (q1, q2,...., qn)
- v2: (r1, r2,....., rn)
Then, the Euclidean score is mathematically defined as:
