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| direction vector ： ウィキペディア英語版 |
direction vector
In mathematics, a direction vector that describes a line ''D'' is any vector
:
where and are two distinct points on the line. If v is a direction vector for ''D'', so is ''k''v for any nonzero scalar ''k''; and these are in fact ''all'' of the direction vectors for the line ''D''. Under some definitions, the direction vector is required to be a unit vector, in which case each line has exactly two direction vectors, which are negatives of each other (equal in magnitude, opposite in direction).
==Parametric equation for a line==
In Euclidean space (any number of dimensions), given a point a and a nonzero vector v, a line is defined parametrically by (a+tv), where the parameter ''t'' varies between -∞ and +∞. This line has v as a direction vector.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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