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

The Quaternion Inverse (q^{-1} = q^{*}/|q|^{2}) calculator computes the inverse quaternion(q^{-1}) from the input quaternion (q). The Quaternion Inverse was

The Quaternion Versor (q_{norm} = q/|q|) calculator computes the normalized quaternion(q) with a magnitude of 1 for the input quaternion.

The Quaternion Addition (q = q1 + q2) calculator computes the resulting quaternion (q) from the sum of two (q1 and q2).

The Quaternion Subtraction (q = q1 - q2) calculator computes the resulting quaternion (q) from the difference of two (q1 and q2).

The Quaternion Conjugate (q^{*} = q_{4} ,-q_{1}, -q_{2}, -q_{3}) calculator computes the conjugate (q^{*}) of a quaternion(q).

The Quaternion Magnitude (|q| = (q q*)^{½}) calculator computes the magnitude(|q|) of a quaternion(q).

The Quaternion Multiplication (q = q1 * q2) calculator computes the resulting quaternion (q) from the product of two (q1 and q2).

The Quaternion Calculator includes functions associated with quaternion mathematics. These include the following:QUATERNION ROTATIONS

Quaternions can be represented in several ways. One of the ways is similar to the way complex