Difference between revisions of "Manuals/calci/CROSSPRODUCT"

Latest revision as of 15:20, 11 December 2018

CROSSPRODUCT (a,b)

This function shows the Cross product of two numbers.
Cross product is also called Vector product.
The cross product is defined in three dimensional space and it is denoted by axb.
In CROSSPRODUCT (a,b), a and b are any two positive real numbers.
We can calculate the Cross Product this way:
$aXb$ = $\mid a\mid$ . $\mid b\mid$ $sin(\theta )n$
$\mid a\mid$ is the magnitude (length) of vector a
$\mid b$ is the magnitude (length) of vector b
$\theta$ is the angle between a and b
$n$ is the unit vector at right angles to both a and b.

@@ Line 7: / Line 7: @@
 *The cross product is defined in three dimensional space and it is denoted by axb.
 *In CROSSPRODUCT (a,b), a and b are any two positive real numbers.
-*We can calculate the Cross Product this way:<math>a×b</math> =
+*We can calculate the Cross Product this way:
-  <math>\mid a\mid</math>.<math> \mid b\mid</math><math> sin(\theta) n</math>
+*<math>a X b</math> = <math>\mid a\mid</math>.<math> \mid b\mid</math><math> sin(\theta) n</math>
 *<math>\mid a\mid</math> is the magnitude (length) of vector a
 *<math>\mid b</math> is the magnitude (length) of vector b
 *<math>\theta</math> is the angle between a and b
-*n is the unit vector at right angles to both a and b
+*<math>n</math> is the unit vector at right angles to both a and b.
+==Examples==
+#CROSSPRODUCT([2,7,8],[3,9,5]) =-37  14	-3
+#CROSSPRODUCT([3,8,-2],[10,6,-5]) = -28 -5 -62
+#CROSSPRODUCT([5.2,9.1,-4],[4,6,8]) = 96.8 -57.6 -5.199999999999996
+==Related Videos==
+{{#ev:youtube|v=pWbOisq1MJU|280|center|Cross Product}}
+==See Also==
+*[[Manuals/calci/DOTPRODUCT | DOTPRODUCT]]
+*[[Manuals/calci/CARTESIANPRODUCT  | CARTESIANPRODUCT ]]
+==References==
+[https://www.mathsisfun.com/algebra/vectors-cross-product.html Cross Product]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]