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| {{Unreferenced stub|auto=yes|date=December 2009}}
| | Hello. Let me introduce the author. Her name is Emilia Shroyer but it's not the most feminine title out there. Hiring is my occupation. To gather cash is 1 of the issues I love most. Her family life in Minnesota.<br><br>Also visit my website; home std test kit ([http://tcciaarusha-bic.info/groups/simple-stuff-you-could-do-to-remove-candida/ this site]) |
| '''Vector decomposition''' is the decomposition of a [[Vector (geometric)|vector]] of '''R'''<sup>''n''</sup> into several vectors, all [[linearly independent]] (in mutually distinct directions in the ''n''-dimensional space).
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| ==Vector decomposition in two dimensions==
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| In two dimensions, a vector can be decomposed in many ways. In the [[Cartesian coordinate system]], the vector is decomposed into a portion along the <math>\hat{x}</math> or <math>\hat{i}</math> and the <math>\hat{y}</math> or <math>\hat{j}</math> directions.
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| One of the most common situations is when given a vector with magnitude and direction (or given in [[polar coordinate system|polar]] form), it can be converted into the [[Vector (geometric)#Addition and subtraction|sum]] of two perpendicular vectors (or converted to a Cartesian coordinate). In order to do this it makes use of trigonometry, such as sine and cosine.
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| ==Application in physics==
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| Vector decomposition is used in physics to help adding vectors and hence solve many mechanical problems involving [[force]], [[work (physics)|work]], [[momentum]], etc.
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| ==See also==
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| * [[Coordinate system]]
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| * [[Helmholtz decomposition]] (decomposition of a [[vector field]])
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| [[Category:Vectors]]
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| {{linear-algebra-stub}}
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Latest revision as of 15:25, 4 November 2014
Hello. Let me introduce the author. Her name is Emilia Shroyer but it's not the most feminine title out there. Hiring is my occupation. To gather cash is 1 of the issues I love most. Her family life in Minnesota.
Also visit my website; home std test kit (this site)