  We give an affirmative answer to a question asked by Faghih-Ahmadi and
Hedayatian regarding supercyclic vectors. We show that if $\mathcal X$ is an
infinite-dimensional normed linear space and $T$ is a supercyclic operator on
$\mathcal X$, then for any supercyclic vector $x$ for $T$, there exists a
strictly increasing sequence $(n_k)_k$ of positive integers such that the
closed linear span of the set $\{T^{n_k}x: k\ge 1\}$ is not the whole $\mathcal
X$.
