Collinear vectors

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Vectors lying on a straight line or on parallel lines. In order that two non-zero vectors be collinear it is necessary and sufficient that their coordinates be in proportion. The zero vector is collinear with every vector. Similarly, points lying on a straight line are said to be collinear.

How to Cite This Entry:
Collinear vectors. A.B. Ivanov (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098