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We present in a simple terms the theory of the factorizing operatorintroduced recently by Maillet and Sanches de Santos for the spin - 1/2 chains.We obtain the explicit expressions for the matrix elements of the factorizingoperator in terms of the elements of the Monodromy matrix. We use this resultsto derive the expression for the general scalar product for the quantum spinchain. We comment on the previous determination of the scalar product of Betheeigenstate with an arbitrary dual state. We also establish the directcorrespondence between the calculations of scalar products in the F- basis andthe usual basis.Comment: LaTex, 20 page

CONSTRUCTION OF MONODROMY MATRIX IN THE F-BASIS AND SCALAR PRODUCTS IN SPIN CHAINS