In document retrieval task, random projection (RP) is considered as a useful technique of dimension reduction. The task can be achieved very quickly yet the recalculation is not necessarry to any changes. However, in lower dimension, random projection has instability by randomness in itself. In this investigation, we propose a new technique, called skewed projection (SP) for dimension reduction technique based term frequency distribution. We show that this technique can take advantages of local independency thus we can obtain efficient retrieval for documents which belong to specific application area.