Difference between revisions of "Manuals/calci/CROSSPRODUCT"

From ZCubes Wiki
Jump to navigation Jump to search
 
(7 intermediate revisions by 2 users not shown)
Line 7: Line 7:
 
*The cross product is defined in three dimensional space and it is denoted by axb.
 
*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.
 
*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> = <math>\mid a\mid</math>.<math> \mid b\mid</math><math> sin(\theta) n</math>
+
*We can calculate the Cross Product this way:
 +
*<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 a\mid</math> is the magnitude (length) of vector a
 
*<math>\mid b</math> is the magnitude (length) of vector b
 
*<math>\mid b</math> is the magnitude (length) of vector b
 
*<math>\theta</math> is the angle between a and 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 ]]

Latest revision as of 14:20, 11 December 2018

CROSSPRODUCT (a,b)


  • and are any real numbers.

Description

  • 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:
  • = .
  • is the magnitude (length) of vector a
  • is the magnitude (length) of vector b
  • is the angle between a and b
  • is the unit vector at right angles to both a and b.

Examples

  1. CROSSPRODUCT([2,7,8],[3,9,5]) =-37 14 -3
  2. CROSSPRODUCT([3,8,-2],[10,6,-5]) = -28 -5 -62
  3. CROSSPRODUCT([5.2,9.1,-4],[4,6,8]) = 96.8 -57.6 -5.199999999999996

Related Videos

Cross Product

See Also

References

Cross Product