# Collinear vectors

From Encyclopedia of Mathematics

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: http://www.encyclopediaofmath.org/index.php?title=Collinear_vectors&oldid=16118

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098