Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online lexicon:

Symmetry and Linearity

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview
From the coordinate representation of the scalar product it follows

$\displaystyle \vec{a}\cdot\vec{b} = \vec{b}\cdot\vec{a} $

and

$\displaystyle \left(s\vec{a}+r\vec{b}\right)\cdot\vec{c} = s\vec{a}\cdot\vec{c}+r\vec{b}\cdot\vec{c}\, , $

i.e., the scalar product has properties analogous to some calculation rules of the product of real numbers.
(Authors: Burkhardt/Höllig/Much)
[Links]
  automatically generated 7/ 8/2004