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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.

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Syntax

VECTOR_EUCLIDEAN_DISTANCE(<array>, <array>)

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Parameters

ParameterDescriptionSupported 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.

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Notes

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

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Return Type

DOUBLE

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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