Euclidean Distance

Function to calculate the euclidean distance

Calculate Euclidean distance


This function calculates the Euclidean distance between two points. The Euclidean distance between two points in the plane or in space is that measured with a ruler measured length of a line connecting these two points.

To calculate, enter a series of x /y pairs (vectors). The individual numbers are separated by semicolons or spaces. Then click on the 'Calculate' button.


Euclidean distance calculator

 Input
Argument X
Argument Y
Decimal places
  Result

Euclidean distance formula

\(\displaystyle d_{\mathbf{2}} : (x, y) \mapsto \|x-y\|_2 = \sqrt{\sum_{i=1}^{n} (x_i-y_i)^2}\)
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