Let   $\sqrt{3}\hat{\mathrm{i}}+\hat{\mathrm{j}},\hat{\mathrm{i}}+\sqrt{3}\hat{\mathrm{j}}$  and   $\mathrm{\beta }\hat{\mathrm{i}}+(1-\mathrm{\beta })\hat{\mathrm{j}}$ respectively be the position vectors of the points A, B and C with  respect to the origin O. If the  distance of C from the bisector of the acute angle between OA and OB is 3,2 then the sum of all possible values of $\mathrm{\beta }$ is :