Difference between revisions of "Manuals/calci/QUATERNION"

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*<math>i\sdot j </math> =<math>k</math> = <math> -j \sdot i </math>  
 
*<math>i\sdot j </math> =<math>k</math> = <math> -j \sdot i </math>  
 
*<math>j\sdot k </math> =<math>i</math> =<math>  -k\sdot j </math>  
 
*<math>j\sdot k </math> =<math>i</math> =<math>  -k\sdot j </math>  
**<math>k\sdot i </math> =<math>j</math> = <math> -i\sdot k </math>
+
*<math>k\sdot i </math> =<math>j</math> = <math> -i\sdot k </math>
 
 
 
 
 
 
*<math>i\sdot j </math> =<math>k</math>= <math> −j \sdot i</math>,<math>j\sdot k </math>= <math>i</math> = <math>−k\sdot j</math>, <math>k \sdot i</math> = <math>j</math> = <math> −i \sdotk</math>
 
  
 
==Examples==
 
==Examples==

Revision as of 13:45, 17 January 2018

QUATERNION (a,b,c,d)


  • and are any real numbers.

Description

  • This function shows the coefficient of the Quarternion.
  • In , and are any real numbers.
  • Quartenion is a complex number of the form w + xi + yj + zk, where w, x, y, z are real numbers and i, j, k are imaginary units.
  • The imaginary units are satisfy certain conditions:
  • .
  • = =
  • = =
  • = =

Examples

  1. QUATERNION(9,2,3,4) = 9 2 3 4
  2. QUATERNION(8,-2,4,-5) = 8 -2 4 -5
  3. QUATERNION(-9,-12,-16,-20) = -9 -12 -16 -20

See Also

References

Quartenion