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according to my book of 'Geometric Algebra' the operation of Left-Contraction for Blades has a distributive property in respect to addition. However the authors do not prove it, nor they give the smallest hint on how to derive it.

The property says that:

[tex](\textbf{A+B})|\textbf{C}=\textbf{A}|\textbf{C}+\textbf{B}|\textbf{C}[/tex]

where the symbol|denotes Left-Contraction.

Does anyone have a clue on how to prove that identity?

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# Contraction distributive property in GA

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