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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 scalar projection ： ウィキペディア英語版 scalar projection In mathematics, the scalar projection of a vector $\backslash mathbf$ on (or onto) a vector $\backslash mathbf$, also known as the scalar resolute or scalar component of $\backslash mathbf$ in the direction of $\backslash mathbf$, is given by: :$s\; =\; |\backslash mathbf|\backslash cos\backslash theta\; =\; \backslash mathbf\backslash cdot\backslash mathbf,$ where the operator $\backslash cdot$ denotes a dot product, $\backslash hat$, $|\backslash mathbf|$ is the length of $\backslash mathbf$, and $\backslash theta$ is the angle between $\backslash mathbf$ and $\backslash mathbf$. The scalar projection is a scalar, equal to the length of the orthogonal projection of $\backslash mathbf$ on $\backslash mathbf$, with a negative sign if the projection has an opposite direction with respect to $\backslash mathbf$. Multiplying the scalar projection of $\backslash mathbf$ on $\backslash mathbf$ by $\backslash mathbf$ converts it into the above-mentioned orthogonal projection, also called vector projection of $\backslash mathbf$ on $\backslash mathbf$. ==Definition based on angle ''θ''== If the angle $\backslash theta$ between $\backslash mathbf$ and $\backslash mathbf$ is known, the scalar projection of $\backslash mathbf$ on $\backslash mathbf$ can be computed using :$s\; =\; |\backslash mathbf|\; \backslash cos\; \backslash theta\; .$ 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「scalar projection」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.