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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Vector algebra relations ： ウィキペディア英語版 Vector algebra relations The relations below apply to vectors in a three-dimensional Euclidean space.〔See, for example, 〕 Some, but not all of them, extend to vectors of higher dimensions. In particular, the cross product of two vectors is not available in all dimensions. See Seven-dimensional cross product. ==Magnitudes== The magnitude of a vector A is determined by its three components along three orthogonal directions using Pythagoras' theorem: :$\backslash |\backslash mathbf\; A\; \backslash |^2\; =\; A\_1^2\; +\; A\_2^2\; +A\_3^2\; \backslash$ The magnitude also can be expressed using the dot product: :$\backslash |\backslash mathbf\; A\; \backslash |^2\; =\; (\backslash mathbf\; )\; \backslash$ 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 algebra relations」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.