---
title: ES|QL V_L2_NORM function
description: 
url: https://www.elastic.co/docs/reference/query-languages/esql/functions-operators/dense-vector-functions/v_l2_norm
products:
  - Elasticsearch
---

# ES|QL V_L2_NORM function
<applies-to>
  - Elastic Cloud Serverless: Generally available
  - Elastic Stack: Generally available since 9.4
  - Elastic Stack: Preview in 9.3
</applies-to>

Calculates the L2 norm (Euclidean distance) between two dense_vectors.

## Syntax

![Embedded](https://www.elastic.co/docs/reference/query-languages/esql/images/generated/x-pack-esql/functions/v_l2_norm.svg)


## Parameters

<definitions>
  <definition term="left">
    first dense_vector to calculate l2 norm similarity
  </definition>
  <definition term="right">
    second dense_vector to calculate l2 norm similarity
  </definition>
</definitions>


## Description

Calculates the l2 norm between two dense_vectors.

## Supported types


| left         | right        | result |
|--------------|--------------|--------|
| dense_vector | dense_vector | double |


## Example

```esql
from colors
| eval similarity = v_l2_norm(rgb_vector, [0, 255, 255])
| sort similarity desc, color asc
```


| color:text | similarity:double  |
|------------|--------------------|
| red        | 441.6729431152344  |
| maroon     | 382.6669616699219  |
| crimson    | 376.36419677734375 |
| orange     | 371.68536376953125 |
| gold       | 362.8360595703125  |
| black      | 360.62445068359375 |
| magenta    | 360.62445068359375 |
| yellow     | 360.62445068359375 |
| firebrick  | 359.67486572265625 |
| tomato     | 351.0227966308594  |