non-zero vector

A non-zero vector in a vector spaceMathworldPlanetmath V is a vector that is not equal to the zero vector in V.

If 𝐮 is a non-zero vector in V and a is a scalar, i.e. an element of the field over which V is defined, then the equation  a⁢𝐮=𝟎  is possible only in the case  a=0.

Title non-zero vector
Canonical name NonzeroVector
Date of creation 2013-12-01 16:50:29
Last modified on 2013-12-01 16:50:29
Owner matte (1858)
Last modified by pahio (2872)
Numerical id 6
Author matte (2872)
Entry type Definition
Classification msc 15-00