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  where r is a unit vector of H, commutative subrings of the quaternion ring. 
  The Euclidean outerproduct is not used often; however, it is mentioned as a pair with the innerproduct: 
  Quaternions came from Hamilton after his really good work had been done; and, though beautifully ingenious, have been an unmixed evil to those who have touched them in any way, including Clark Maxwell. 
 www.bayportnyus.com /topic/Quaternions (3364 words) 
