Difference between revisions of "Manuals/calci/VECTORPRODUCT"
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| − | VECTORPRODUCT | + | <div style="font-size:30px">'''VECTORPRODUCT (a,b)'''</div><br/> |
| + | OR | ||
| + | <div style="font-size:30px">'''CROSSPRODUCT (a,b)'''</div><br/> | ||
| + | *<math>a</math> and <math>b</math> are any real numbers. | ||
| + | |||
| + | ==Description== | ||
| + | *This function shows the Cross product of two numbers. | ||
| + | *Vector product is also called Cross product. | ||
| + | *The Vector product is defined in three dimensional space and it is denoted by axb. | ||
| + | *In VECTORPRODUCT (a,b), a and b are any two positive real numbers. | ||
| + | *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 b</math> is the magnitude (length) of vector b | ||
| + | *<math>\theta</math> is the angle between a and b | ||
| + | *<math>n</math> is the unit vector at right angles to both a and b. | ||
| + | |||
| + | ==Examples== | ||
| + | #VECTORPRODUCT([2,3,5],[8,6,4]) = -18 32 -12 | ||
| + | #VECTORPRODUCT([4,10,3.2],[9,5.3,4]) = 23.04 12.8 -68.8 | ||
| + | #VECTORPRODUCT([5.3,7.2,8],[-6,-4,7]) = 82.4 -85.1 22.000000000000004 | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|v=E34CftP455k&t=7s|280|center|Cross Product}} | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/DOTPRODUCT | DOTPRODUCT]] | ||
| + | *[[Manuals/calci/CARTESIANPRODUCT | CARTESIANPRODUCT ]] | ||
| + | *[[Manuals/calci/CROSSPRODUCT | CROSSPRODUCT ]] | ||
| + | |||
| + | |||
| + | ==References== | ||
| + | [https://www.mathsisfun.com/algebra/vectors-cross-product.html Vector Product] | ||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 15:04, 7 February 2019
VECTORPRODUCT (a,b)
OR
CROSSPRODUCT (a,b)
- and are any real numbers.
and 
are any real numbers.Description
- This function shows the Cross product of two numbers.
- Vector product is also called Cross product.
- The Vector product is defined in three dimensional space and it is denoted by axb.
- In VECTORPRODUCT (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.
= 
.
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
- VECTORPRODUCT([2,3,5],[8,6,4]) = -18 32 -12
- VECTORPRODUCT([4,10,3.2],[9,5.3,4]) = 23.04 12.8 -68.8
- VECTORPRODUCT([5.3,7.2,8],[-6,-4,7]) = 82.4 -85.1 22.000000000000004
Related Videos
See Also
References