The cointegrating vectors comprise the equilibrium correction mechanisms of the cointegrated VAR system.  The adjustment coefficients permit the adjustment from deviations to the long-run dynamic equilibrium. But these are factor loadings. Cointegrating vectors comprising the error correction mechanism are fit by their normalized coefficients, and they can be estimated by OLS, if their moduli reside within the unit circle.     The coefficients within the cointegrating vectors define the long-term equilibrium pulling forces that maintain the dynamic equilibrum over time.   Employing those coefficients outside their linear combination as separate individual coefficients risks destroying the long-run longevity of the common trends.

The attached chapter explains well about normalized cointegration vector and OLS. Each section of the chapter also provides command lines for computer simulation. 

http://faculty.washington.edu/ezivot/econ584/notes/cointegration.pdf