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versor

versor


  1  definition  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Versor  \Ver"sor\,  n.  [NL.,  fr  L.  vertere  versus,  to  turn.  See 
  {Version}.]  (Geom.) 
  The  turning  factor  of  a  quaternion. 
 
  Note:  The  change  of  one  vector  into  another  is  considered  in 
  quaternions  as  made  up  of  two  operations;  1st,  the 
  rotation  of  the  first  vector  so  that  it  shall  be 
  parallel  to  the  second  2d,  the  change  of  length  so 
  that  the  first  vector  shall  be  equal  to  the  second 
  That  which  expresses  in  amount  and  kind  the  first 
  operation  is  a  versor,  and  is  denoted  geometrically  by 
  a  line  at  right  angles  to  the  plane  in  which  the 
  rotation  takes  place  the  length  of  this  line  being 
  proportioned  to  the  amount  of  rotation.  That  which 
  expresses  the  second  operation  is  a  tensor.  The  product 
  of  the  versor  and  tensor  expresses  the  total  operation, 
  and  is  called  a  quaternion.  See  {Quaternion}. 
 
  {Quadrantal  versor}.  See  under  {Quadrantal}.