---
title: "Vector4"
docs: "Phaser v4.1.0"
url: https://phaser.io/oss/docs/api-documentation/class/math-vector4
site: Phaser - https://phaser.io
---

> This page is about the open-source Phaser framework, for writing a game's code by hand. To make a game with AI, use Phaser AE (https://phaser.io/): the desk's tools work with Web MCP, and the CLI works with your own coding agent. See "For AI agents: Phaser AE" at the end of this page.

# Vector4

A four-component vector (x, y, z, w) for use in 3D mathematics and transformations.

Vector4 is commonly used to represent homogeneous coordinates in 3D space, where the `w` component acts as a scaling factor, making it compatible with 4x4 matrix multiplication via `Matrix4`. It is also used to represent RGBA color values, quaternion components, and any other quantity that requires four independent scalar values. The class supports the standard vector operations you would expect: addition, subtraction, scaling, normalization, dot product, linear interpolation, and transformation by both `Matrix4` and `Quaternion` objects.

**Constructor**

`new Vector4([x], [y], [z], [w])`

**Parameters**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| x | number | Yes | The x component. |
| y | number | Yes | The y component. |
| z | number | Yes | The z component. |
| w | number | Yes | The w component. |

---


**Scope**: static

> Source: [src/math/Vector4.js#L12](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L12)  
Since: 3.0.0

## Public Members

### w

#### w: number


**Description:**

The w component of this Vector.


> Source: [src/math/Vector4.js#L69](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L69)  
Since: 3.0.0


---

### x

#### x: number


**Description:**

The x component of this Vector.


> Source: [src/math/Vector4.js#L39](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L39)  
Since: 3.0.0


---

### y

#### y: number


**Description:**

The y component of this Vector.


> Source: [src/math/Vector4.js#L49](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L49)  
Since: 3.0.0


---

### z

#### z: number


**Description:**

The z component of this Vector.


> Source: [src/math/Vector4.js#L59](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L59)  
Since: 3.0.0


---

## Public Methods

### add

#### \<instance> add(v)


**Description:**

Add a given Vector to this Vector. Addition is component-wise.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| v | [Phaser.Math.Vector2](https://phaser.io/oss/docs/api-documentation/class/math-vector2.md) \| [Phaser.Math.Vector3](https://phaser.io/oss/docs/api-documentation/class/math-vector3.md) | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The Vector to add to this Vector. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L178](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L178)  
Since: 3.0.0


---

### clone

#### \<instance> clone()


**Description:**

Make a clone of this Vector4.


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - A clone of this Vector4.


> Source: [src/math/Vector4.js#L95](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L95)  
Since: 3.0.0


---

### copy

#### \<instance> copy(src)


**Description:**

Copy the components of a given Vector into this Vector.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| src | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The Vector to copy the components from. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L108](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L108)  
Since: 3.0.0


---

### distance

#### \<instance> distance(v)


**Description:**

Calculate the distance between this Vector and the given Vector.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| v | [Phaser.Math.Vector2](https://phaser.io/oss/docs/api-documentation/class/math-vector2.md) \| [Phaser.Math.Vector3](https://phaser.io/oss/docs/api-documentation/class/math-vector3.md) | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The Vector to calculate the distance to. |


**Returns:** number - The distance from this Vector to the given Vector.


> Source: [src/math/Vector4.js#L394](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L394)  
Since: 3.0.0


---

### distanceSq

#### \<instance> distanceSq(v)


**Description:**

Calculate the distance between this Vector and the given Vector, squared.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| v | [Phaser.Math.Vector2](https://phaser.io/oss/docs/api-documentation/class/math-vector2.md) \| [Phaser.Math.Vector3](https://phaser.io/oss/docs/api-documentation/class/math-vector3.md) | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The Vector to calculate the distance to. |


**Returns:** number - The distance from this Vector to the given Vector, squared.


> Source: [src/math/Vector4.js#L414](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L414)  
Since: 3.0.0


---

### divide

#### \<instance> divide(v)


**Description:**

Perform a component-wise division between this Vector and the given Vector.

Divides this Vector by the given Vector.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| v | [Phaser.Math.Vector2](https://phaser.io/oss/docs/api-documentation/class/math-vector2.md) \| [Phaser.Math.Vector3](https://phaser.io/oss/docs/api-documentation/class/math-vector3.md) | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The Vector to divide this Vector by. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L372](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L372)  
Since: 3.0.0


---

### dot

#### \<instance> dot(v)


**Description:**

Calculate the dot product of this Vector and the given Vector.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| v | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The Vector4 to dot product with this Vector4. |


**Returns:** number - The dot product of this Vector and the given Vector.


> Source: [src/math/Vector4.js#L305](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L305)  
Since: 3.0.0


---

### equals

#### \<instance> equals(v)


**Description:**

Check whether this Vector is equal to a given Vector.

Performs a strict equality check against each Vector's components.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| v | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The vector to check equality with. |


**Returns:** boolean - A boolean indicating whether the two Vectors are equal or not.


> Source: [src/math/Vector4.js#L128](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L128)  
Since: 3.0.0


---

### length

#### \<instance> length()


**Description:**

Calculate the length (or magnitude) of this Vector.


**Returns:** number - The length of this Vector.


> Source: [src/math/Vector4.js#L238](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L238)  
Since: 3.0.0


---

### lengthSq

#### \<instance> lengthSq()


**Description:**

Calculate the length of this Vector squared.


**Returns:** number - The length of this Vector, squared.


> Source: [src/math/Vector4.js#L256](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L256)  
Since: 3.0.0


---

### lerp

#### \<instance> lerp(v, [t])


**Description:**

Linearly interpolate between this Vector and the given Vector.

Interpolates this Vector towards the given Vector.

**Parameters:**
| name | type | optional | default | description |
| ---- | ---- | -------- | ------- | ----------- |
| v | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No |  | The Vector4 to interpolate towards. |
| t | number | Yes | 0 | The interpolation percentage, between 0 and 1. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L320](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L320)  
Since: 3.0.0


---

### multiply

#### \<instance> multiply(v)


**Description:**

Perform a component-wise multiplication between this Vector and the given Vector.

Multiplies this Vector by the given Vector.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| v | [Phaser.Math.Vector2](https://phaser.io/oss/docs/api-documentation/class/math-vector2.md) \| [Phaser.Math.Vector3](https://phaser.io/oss/docs/api-documentation/class/math-vector3.md) | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The Vector to multiply this Vector by. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L350](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L350)  
Since: 3.0.0


---

### negate

#### \<instance> negate()


**Description:**

Negate the `x`, `y`, `z` and `w` components of this Vector.


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L434](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L434)  
Since: 3.0.0


---

### normalize

#### \<instance> normalize()


**Description:**

Normalize this Vector.

Makes the vector a unit length vector (magnitude of 1) in the same direction.


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L274](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L274)  
Since: 3.0.0


---

### reset

#### \<instance> reset()


**Description:**

Make this Vector the zero vector (0, 0, 0, 0).


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L512](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L512)  
Since: 3.0.0


---

### scale

#### \<instance> scale(scale)


**Description:**

Scale this Vector by the given value.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| scale | number | No | The value to scale this Vector by. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L218](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L218)  
Since: 3.0.0


---

### set

#### \<instance> set(x, y, z, w)


**Description:**

Set the `x`, `y`, `z` and `w` components of the this Vector to the given `x`, `y`, `z` and `w` values.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| x | number \| object | No | The x value to set for this Vector, or an object containing x, y, z and w components. |
| y | number | No | The y value to set for this Vector. |
| z | number | No | The z value to set for this Vector. |
| w | number | No | The w value to set for this Vector. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L145](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L145)  
Since: 3.0.0


---

### subtract

#### \<instance> subtract(v)


**Description:**

Subtract the given Vector from this Vector. Subtraction is component-wise.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| v | [Phaser.Math.Vector2](https://phaser.io/oss/docs/api-documentation/class/math-vector2.md) \| [Phaser.Math.Vector3](https://phaser.io/oss/docs/api-documentation/class/math-vector3.md) | [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) | No | The Vector to subtract from this Vector. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L198](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L198)  
Since: 3.0.0


---

### transformMat4

#### \<instance> transformMat4(mat)


**Description:**

Transform this Vector with the given Matrix.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| mat | [Phaser.Math.Matrix4](https://phaser.io/oss/docs/api-documentation/class/math-matrix4.md) | No | The Matrix4 to transform this Vector4 with. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L452](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L452)  
Since: 3.0.0


---

### transformQuat

#### \<instance> transformQuat(q)


**Description:**

Transform this Vector with the given Quaternion.

**Parameters:**
| name | type | optional | description |
| ---- | ---- | -------- | ----------- |
| q | [Phaser.Math.Quaternion](https://phaser.io/oss/docs/api-documentation/class/math-quaternion.md) | No | The Quaternion to transform this Vector with. |


**Returns:** [Phaser.Math.Vector4](https://phaser.io/oss/docs/api-documentation/class/math-vector4.md) - This Vector4.


> Source: [src/math/Vector4.js#L478](https://github.com/phaserjs/phaser/blob/v4.1.0/src/math/Vector4.js#L478)  
Since: 3.0.0


---

---

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Read any page of this site as Markdown by adding `.md` to its URL (the home page is https://phaser.io/index.md), or by asking for `text/markdown`. The index for agents is https://phaser.io/llms.txt. On the site's pages, the browser's Web MCP also offers `phaser_ae_guide`, `read_page_as_markdown` and `open_phaser_ae`.