# Vector.MultiplyVector.MultiplyVector.MultiplyVector.Multiply Operator

## Definition

 Multiply(Vector, Matrix) Multiply(Vector, Matrix) Multiply(Vector, Matrix) Transforms the coordinate space of the specified vector using the specified Matrix. Multiply(Vector, Vector) Multiply(Vector, Vector) Multiply(Vector, Vector) Multiply(Vector, Vector) Calculates the dot product of the two specified vector structures and returns the result as a Double. Multiply(Double, Vector) Multiply(Double, Vector) Multiply(Double, Vector) Multiplies the specified scalar by the specified vector and returns the resulting vector. Multiply(Vector, Double) Multiply(Vector, Double) Multiply(Vector, Double) Multiplies the specified vector by the specified scalar and returns the resulting vector.

## Multiply(Vector, Matrix)Multiply(Vector, Matrix)Multiply(Vector, Matrix)

Transforms the coordinate space of the specified vector using the specified Matrix.

``````public:
static System::Windows::Vector operator *(System::Windows::Vector vector, System::Windows::Media::Matrix matrix);``````
``public static System.Windows.Vector operator * (System.Windows.Vector vector, System.Windows.Media.Matrix matrix);``
``static member ( * ) : System.Windows.Vector * System.Windows.Media.Matrix -> System.Windows.Vector``

#### Parameters

vector
Vector Vector Vector Vector

The vector to transform.

matrix
Matrix Matrix Matrix Matrix

The transformation to apply to `vector`.

#### Returns

The result of transforming `vector` by `matrix`.

### Examples

The following example shows how to use this operator (*) to multiply a Vector structure by a Matrix structure.

``````private Vector overloadedMultiplyVectorByMatrixOperatorExample()
{
Vector vector1 = new Vector(20, 30);
Matrix matrix1 = new Matrix(40, 50, 60, 70, 80, 90);
Vector vectorResult = new Vector();

// Multiply the vector and matrix.
// vectorResult is equal to (2600,3100).
vectorResult = vector1 * matrix1;

return vectorResult;

}
``````
``````Private Function overloadedMultiplyVectorByMatrixOperatorExample() As Vector
Dim vector1 As New Vector(20, 30)
Dim matrix1 As New Matrix(40, 50, 60, 70, 80, 90)
Dim vectorResult As New Vector()

' Multiply the vector and matrix.
' vectorResult is equal to (2600,3100).
vectorResult = vector1 * matrix1

Return vectorResult

End Function
``````

## Multiply(Vector, Vector)Multiply(Vector, Vector)Multiply(Vector, Vector)Multiply(Vector, Vector)

Calculates the dot product of the two specified vector structures and returns the result as a Double.

``````public:
static double operator *(System::Windows::Vector vector1, System::Windows::Vector vector2);``````
``public static double operator * (System.Windows.Vector vector1, System.Windows.Vector vector2);``
``static member ( * ) : System.Windows.Vector * System.Windows.Vector -> double``
``Public Shared Operator * (vector1 As Vector, vector2 As Vector) As Double``

#### Parameters

vector1
Vector Vector Vector Vector

The first vector to multiply.

vector2
Vector Vector Vector Vector

The second vector to multiply.

#### Returns

Returns a Double containing the scalar dot product of `vector1` and `vector2`, which is calculated using the following formula:

`vector1.X * vector2.X + vector1.Y * vector2.Y`

### Examples

The following example shows how to use this operator (*) to multiply a Vector structure by a Vector.

``````private Double overloadedOperatorGetDotProductExample()
{
Vector vector1 = new Vector(20, 30);
Vector vector2 = new Vector(45, 70);

// Return the dot product of the two specified vectors
// using the overloaded "*" operator.
// The dot product is calculated using the following
// formula: (vector1.X * vector2.X) + (vector1.Y * vector2.Y).
// doubleResult is equal to 3000
Double doubleResult = Vector.Multiply(vector1, vector2);

return doubleResult;

}
``````
``````Private Function overloadedOperatorGetDotProductExample() As Double
Dim vector1 As New Vector(20, 30)
Dim vector2 As New Vector(45, 70)

' Return the dot product of the two specified vectors
' using the overloaded "*" operator.
' The dot product is calculated using the following
' formula: (vector1.X * vector2.X) + (vector1.Y * vector2.Y).
' doubleResult is equal to 3000
Dim doubleResult As Double = Vector.Multiply(vector1, vector2)

Return doubleResult

End Function
``````

## Multiply(Double, Vector)Multiply(Double, Vector)Multiply(Double, Vector)

Multiplies the specified scalar by the specified vector and returns the resulting vector.

``````public:
static System::Windows::Vector operator *(double scalar, System::Windows::Vector vector);``````
``public static System.Windows.Vector operator * (double scalar, System.Windows.Vector vector);``
``static member ( * ) : double * System.Windows.Vector -> System.Windows.Vector``

#### Parameters

scalar
Double Double Double Double

The scalar to multiply.

vector
Vector Vector Vector Vector

The vector to multiply.

#### Returns

The result of multiplying `scalar` and `vector`.

### Examples

The following example shows how to use this operator (*) to multiply a scalar by a Vector structure.

``````private Vector overloadedMultiplicationOperatorExample2()
{
Vector vector1 = new Vector(20, 30);
Double scalar1 = 75;

// vectorResult is equal to (1500,2250)
Vector vectorResult = scalar1 * vector1;

return vectorResult;

}
``````
``````Private Function overloadedMultiplicationOperatorExample2() As Vector
Dim vector1 As New Vector(20, 30)
Dim scalar1 As Double = 75

' vectorResult is equal to (1500,2250)
Dim vectorResult As Vector = scalar1 * vector1

Return vectorResult

End Function
``````

## Multiply(Vector, Double)Multiply(Vector, Double)Multiply(Vector, Double)

Multiplies the specified vector by the specified scalar and returns the resulting vector.

``````public:
static System::Windows::Vector operator *(System::Windows::Vector vector, double scalar);``````
``public static System.Windows.Vector operator * (System.Windows.Vector vector, double scalar);``
``static member ( * ) : System.Windows.Vector * double -> System.Windows.Vector``

#### Parameters

vector
Vector Vector Vector Vector

The vector to multiply.

scalar
Double Double Double Double

The scalar to multiply.

#### Returns

The result of multiplying `vector` and `scalar`.

### Examples

The following example shows how to use this operator (*) to multiply a Vector structure by a scalar.

``````private Vector overloadedMultiplicationOperatorExample1()
{
Vector vector1 = new Vector(20, 30);
Double scalar1 = 75;

// vectorResult is equal to (1500,2250)
Vector vectorResult = vector1 * scalar1;

return vectorResult;

}
``````
``````Private Function overloadedMultiplicationOperatorExample1() As Vector
Dim vector1 As New Vector(20, 30)
Dim scalar1 As Double = 75

' vectorResult is equal to (1500,2250)
Dim vectorResult As Vector = vector1 * scalar1

Return vectorResult

End Function
``````