vector product in general vector spaces

The vector product can be defined in any finite dimensional vector spaceMathworldPlanetmath V with dimV=n. Let v1,,vn be a basis of V, we then define the vector product of the vectors w1,,wn-1 in the following way:


One can easily see that some of the properties of the vector product are the same as in 3:

Title vector product in general vector spaces
Canonical name VectorProductInGeneralVectorSpaces
Date of creation 2013-03-22 14:32:32
Last modified on 2013-03-22 14:32:32
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 5
Author mathwizard (128)
Entry type Definition
Classification msc 15A72
Synonym vector product