Classical Hamiltonian Quaternions - Classical Elements of A Quaternion - Quaternion

Quaternion

Every quaternion can be decomposed into a scalar and a vector.

These two operations S and V are called "take the Scalar of" and "take the vector of" a quaternion. The vector part of a quaternion is also called the right part.

Every quaternion is equal to a versor multiplied by the tensor of the quaternion. Denoting the versor of a quaternion by

we have