# Vector4 Struct

## Definition

Represents a vector with four single-precision floating-point values.

``public value class Vector4 : IEquatable<System::Numerics::Vector4>, IFormattable``
``public struct Vector4 : IEquatable<System.Numerics.Vector4>, IFormattable``
``````type Vector4 = struct
interface IFormattable``````
``````Public Structure Vector4
Implements IEquatable(Of Vector4), IFormattable``````
Inheritance
Vector4
Implements

## Remarks

The Vector4 structure provides support for hardware acceleration.

For matrix transformations, the Vector2, Vector3, and Vector4 instances are represented as rows: a vector v is transformed by a matrix M with vM multiplication.

## Constructors

 Creates a new Vector4 object whose four elements have the same value. Creates a vector whose elements have the specified values. Creates a new Vector4 object from the specified Vector2 object and a Z and a W component. Constructs a new Vector4 object from the specified Vector3 object and a W component.

## Fields

 The W component of the vector. The X component of the vector. The Y component of the vector. The Z component of the vector.

## Properties

 Gets a vector whose 4 elements are equal to one. Gets the vector (0,0,0,1). Gets the vector (1,0,0,0). Gets the vector (0,1,0,0). Gets the vector (0,0,1,0). Gets a vector whose 4 elements are equal to zero.

## Methods

 Returns a vector whose elements are the absolute values of each of the specified vector's elements. Adds two vectors together. Restricts a vector between a minimum and a maximum value. Copies the elements of the vector to a specified array. Copies the elements of the vector to a specified array starting at a specified index position. Computes the Euclidean distance between the two given points. Returns the Euclidean distance squared between two specified points. Divides the specified vector by a specified scalar value. Divides the first vector by the second. Returns the dot product of two vectors. Returns a value that indicates whether this instance and a specified object are equal. Returns a value that indicates whether this instance and another vector are equal. Returns the hash code for this instance. Returns the length of this vector object. Returns the length of the vector squared. Performs a linear interpolation between two vectors based on the given weighting. Returns a vector whose elements are the maximum of each of the pairs of elements in two specified vectors. Returns a vector whose elements are the minimum of each of the pairs of elements in two specified vectors. Multiplies a scalar value by a specified vector. Multiplies a vector by a specified scalar. Returns a new vector whose values are the product of each pair of elements in two specified vectors. Negates a specified vector. Returns a vector with the same direction as the specified vector, but with a length of one. Returns a vector whose elements are the square root of each of a specified vector's elements. Subtracts the second vector from the first. Returns the string representation of the current instance using default formatting. Returns the string representation of the current instance using the specified format string to format individual elements. Returns the string representation of the current instance using the specified format string to format individual elements and the specified format provider to define culture-specific formatting. Transforms a two-dimensional vector by a specified 4x4 matrix. Transforms a two-dimensional vector by the specified Quaternion rotation value. Transforms a three-dimensional vector by a specified 4x4 matrix. Transforms a three-dimensional vector by the specified Quaternion rotation value. Transforms a four-dimensional vector by a specified 4x4 matrix. Transforms a four-dimensional vector by the specified Quaternion rotation value.

## Operators

 Adds two vectors together. Divides the specified vector by a specified scalar value. Divides the first vector by the second. Returns a value that indicates whether each pair of elements in two specified vectors is equal. Returns a value that indicates whether two specified vectors are not equal. Multiples the scalar value by the specified vector. Multiples the specified vector by the specified scalar value. Returns a new vector whose values are the product of each pair of elements in two specified vectors. Subtracts the second vector from the first. Negates the specified vector.