Difference between revisions of "Cross Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|cas=true|vector-matrix}} | <noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|cas=true|vector-matrix}} | ||
;Cross[ <Vector u> , <Vector v> ] | ;Cross[ <Vector u> , <Vector v> ] | ||
| − | :Calculates the [[w:Cross_product|cross product]] of ''u'' and ''v''. | + | :Calculates the [[w:Cross_product|cross product]] of ''u'' and ''v''. Instead of vectors you can also use lists. |
| − | :{{example| 1=<div><code><nowiki>Cross[{1, 3, 2}, {0, 3, -2}]</nowiki></code> yields ''{-12, 2, 3}'' | + | :{{example| 1=<div><code><nowiki>Cross[(1, 3, 2), (0, 3, -2)]</nowiki></code> yields ''(-12, 2, 3)'', <code><nowiki>Cross[{1, 3, 2}, {0, 3, -2}]</nowiki></code> yields ''{-12, 2, 3}''</div>}} |
| − | :{{ | + | :For 2D vectors or points the result is the z-coordinate of the actual cross product. |
| − | + | :{{example|<code><nowiki>Cross[(1,2),(4,5)]</nowiki></code> yields -3.}} | |
| − | If a vector in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] contains undefined variables, the command yields a formula for the cross product. | + | {{hint|1=If a vector in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] contains undefined variables, the command yields a formula for the cross product, e.g. |
| − | + | <code><nowiki>Cross[(a, b, c), (d, e, f)]</nowiki></code> yields ''(b f - c e, -a f + c d, a e - b d)''. | |
}} | }} | ||
| − | {{ | + | {{notes| 1= |
| + | * You can also use the [[Predefined_Functions_and_Operators|operator]] <code><nowiki>u ⊗ v</nowiki></code><div> | ||
| + | * See also [[Dot Command]].</div>}} | ||
Revision as of 11:27, 2 September 2015
- Cross[ <Vector u> , <Vector v> ]
- Calculates the cross product of u and v. Instead of vectors you can also use lists.
- Example:
Cross[(1, 3, 2), (0, 3, -2)]yields (-12, 2, 3),Cross[{1, 3, 2}, {0, 3, -2}]yields {-12, 2, 3}
- For 2D vectors or points the result is the z-coordinate of the actual cross product.
- Example:
Cross[(1,2),(4,5)]yields -3.
Hint: If a vector in the 
CAS View contains undefined variables, the command yields a formula for the cross product, e.g.
Cross[(a, b, c), (d, e, f)] yields (b f - c e, -a f + c d, a e - b d). Notes:
- You can also use the operator
u ⊗ v - See also Dot Command.
