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Scalar projection : ウィキペディア英語版
Scalar projection

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



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