public static QuaternionD Multiply(
	QuaternionD q1,
	QuaternionD q2
)

Public Shared Function Multiply ( 
	q1 As QuaternionD,
	q2 As QuaternionD
) As QuaternionD

public:
static QuaternionD Multiply(
	QuaternionD q1, 
	QuaternionD q2
)

static member Multiply : 
        q1 : QuaternionD * 
        q2 : QuaternionD -> QuaternionD 

Parameters

q1

Type: DigitalRune.Mathematics.AlgebraQuaternionD
The first quaternion.

q2

Type: DigitalRune.Mathematics.AlgebraQuaternionD
The second quaternion.

Return Value

If the quaternions are unit quaternions, then each quaternion represents a rotation in 3-dimensional space. The product of two unit quaternions is the concatenation of the two rotations.

q₁ . q₂ is the same as M₁ . M₂, where M₁ and M₂ are the equivalent matrices (M₁ specifies the same rotation as q₁ and M₂ specifies the same rotation as q₂).

The multiplication is non-commutative. The operation is also known as the Grassman product of quaternions.

The multiplication is defined as:

q₁q₂ = (w₁w₂ - v₁ ∙ v₂, v₁ x v₂ + w₁v₂ + w₂v₁)

Reference