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Vector decomposition
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Vector decomposition : ウィキペディア英語版
Vector decomposition

Vector decomposition is the decomposition of a vector of R''n'' into several vectors, all linearly independent (in mutually distinct directions in the ''n''-dimensional space).
==Vector decomposition in two dimensions==
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 \hat or \hat and the \hat or \hat directions.
One of the most common situations is when given a vector with magnitude and direction (or given in polar form), it can be converted into the 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.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Vector decomposition」の詳細全文を読む



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