Difference between revisions of "Manuals/calci/CROSSPRODUCT"
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*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: | *We can calculate the Cross Product this way: | ||
− | *<math>a | + | *<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
- 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
See Also
References