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Mathematics-Online lexicon:

Symmetry and Linearity

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From the coordinate representation of the scalar product it follows

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


$\displaystyle \left(s\vec{a}+r\vec{b}\right)\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)


  automatically generated 7/ 8/2004