Let $x_1, \ldots, x_n$ be $n>1$ real numbers satisfying A\equal{}\left |\sum^n_{i\equal{}1}x_i\right |\not \equal{}0 and B\equal{}\max_{1\leq i$n$ vectors $\vec{\alpha_i}$ in the plane, there exists a permutation $(k_1, \ldots, k_n)$ of the numbers $(1, \ldots, n)$ such that \left |\sum_{i\equal{}1}^nx_{k_i}\vec{\alpha_i}\right | \geq \dfrac{AB}{2A\plus{}B}\max_{1\leq i\leq n}|\alpha_i|.