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Yes, a quaternion is basically equivalent to a rotor in geometric algebra which is the geometric product of two vectors from what I remember.
by mattnewport 8y ago
Yes, a quaternion is basically equivalent to a rotor in geometric algebra which is the geometric product of two vectors from what I remember.
- mattnewport 8y agoMore specifically, the rotor that rotates (unit) vector a to vector b is the geometric product of a and the half angle vector between a and b. Barring a sign change that works out equivalent to the quaternion given in the article.