VECTOR_EUCLIDEAN_DISTANCE

Returns the Euclidean distance, or L2 distance, between two vectors. The Euclidean distance measures the shortest distance between two points in space along a straight line. It is calculated by summing the squared distances of a pair of vector elements, and then taking the square root.

Syntax

VECTOR_EUCLIDEAN_DISTANCE(<array>, <array>)

Parameters

Parameter	Description	Supported input types
<array>	The first array used in the distance calculation.	Any array of numeric data types.
<array>	The second array used in the distance calculation.	Any array of numeric data types.

Notes

Both input array arguments must have the same number of elements.

Return Type

DOUBLE

Examples

Example

The following code returns the Euclidean distance between two vectors:

SELECT VECTOR_EUCLIDEAN_DISTANCE([1, 2], [3, 4]) AS distance;

Returns

distance (DOUBLE PRECISION)
2.8284271247461903