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ScalarProduct

scalar product
Syntax 

ScalarProduct(L, M):OBJECT

where each of L and M is of type VECTOR or LIST

Description
This function returns the sum of the product of the components of L and M; precisely:

ScalarProduct(L, M) = Sum([L[I]*M[I]|I In 1..Min(Len(L), Len(M))])).

Thus, the function works even if the lengths of L and M are different. The function works whenever the product of the components of L and M are defined (see Algebraic Operators).

Example 
  ScalarProduct([1,2,3],[5,0,-1]);
2
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  ScalarProduct([1,2,3],[5,0]);
5
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  Use R ::= QQ[x,y];
  ScalarProduct([Ideal(x,y), Ideal(x^2-xy)],[x^2,y]);
Ideal(x^3, x^2y, x^2y - xy^2)
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See Also