| 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> = | + | *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 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 ]] |