General Discussions

Euclidean Distance

It is the distance between two points present in the Euclidean space (In geometry, Euclidean space is referred as 2 dimensional Euclidean plane)

Plane and Point Formula:
The Euclidean distance between points p and q is the length of the line segment connecting them.

In the Euclidean plane, if p = (p1, p2) and q = (q1, q2) then the distance is given by


Note: The source of this formula is in Pythagorean Theorem.

Some Applications of Euclidean distance include:

  • It is used to calculate nearest data point in machine learning for K-nearest neighbor algorithm
  • It is used to determine similarity between two points or vectors

Compilation/Summary Credits: Vishwanath Telsang


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