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Simplification of vector and scalar products


I want to simplify vector and scalar products as for instance

       6 (a / 2) x b  //Simplify

where a and b are assumed to be vectors and "x" is the vector product..
Simplify and FullSimplify do nothing, nor does the following command
change anything:

       6 (a / 2) x b  /. p_ Cross[a_ / q_ , b_] => p Cross[a, b] / q

The simplification is only performed when explicit numbers are introduced:

       6 (a / 2) x b  /. 6 Cross[a_ / 2 , b_] => 6 Cross[a, b] / 2

thus giving the result

       3 a x b

How do I proceed?

John Stokes



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