Difference between revisions of "Manuals/calci/QUATERNION"

Latest revision as of 15:06, 30 November 2018

QUATERNION (a,b,c,d)

This function shows the coefficient of the Quarternion.
In $QUATERNION(a,b,c,d)$ , $a,b,c$ and $d$ 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:
$i^{2}=j^{2}=k^{2}=ijk=-1$ .
$i\cdot j$ = $k$ = $-j\cdot i$
$j\cdot k$ = $i$ = $-k\cdot j$
$k\cdot i$ = $j$ = $-i\cdot k$

@@ Line 10: / Line 10: @@
 *<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\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==
@@ Line 19: / Line 16: @@
 #QUATERNION(8,-2,4,-5) = 8 -2 4 -5
 #QUATERNION(-9,-12,-16,-20) = -9 -12 -16 -20
+==Related Videos==
+{{#ev:youtube|v=ln3vI4JEArc|280|center|Quaternion}}
 ==See Also==