  Let $G$ be a solvable linear group acting on the finite vectorpace $V$ and
assume that $(|G|,|V|)=1$. In this paper we find $x,y\in V$ such that
$C_G(x)\cap C_G(y)=1$. In particular, this answers a question of I. M. Isaacs.
We complete some results of S. Dolphi, A. Seress and T. R. Wolf.
