Mathematics-Online lexicon: Symmetry and Linearity

	[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	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

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)

see also:

automatically generated 7/ 8/2004