School of Mathematics and Statistics, The University of Sydney
 4. Multiplication of a vector by a scalar
Main menu Section menu   Previous section Next section The geometric meaning of multiplication by a scalar Unit vectors and how to get them
Glossary
Examples
Quiz

When are vectors parallel?

Page 2 of 3 

Two vectors u and v are said to be parallel if they have either the same direction or opposite direction. This means that each is a scalar multiple of the other: for some non-zero scalar s, v = su and so u = 1 sv.

     1 u =  -v      s               v = su

Since the zero vector can be written 0 = 0v, the zero vector is considered to be parallel to every other vector v.

Feedback
Main menu Section menu   Previous section Next section The geometric meaning of multiplication by a scalar Unit vectors and how to get them