`q_r = f( theta , "V" )`

Enter a value for all fields

The Quaternion of Rotation formula, q =f(θ,V), computes the quaternion which can be used to rotate a point or vector about an axis defined by a vector (V) for a rotation amount defined by an angle (θ). Rotation Axis 

INSTRUCTIONS: Enter the following:

• (θ) Enter the angle of rotation.
• (V) Enter the x, y and z component of the axis of rotation vector (V) with commas separating the values (e.g.  2.4,5.6,9.2 )

Quaternion of Rotation (q): This formula computes the quaternion (q) that defines the rotation about the axis.

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Quaternion Calculators

• Quaternion Addition
• Quaternion Subtraction
• Quaternion Multiplication
• Quaternion Magnitude
• Quaternion Versor
• Quaternion Conjugate
• Quaternion Inverse
• Quaternion of Rotation
• Vector Rotation