The 5-vector method is one of the main pipeline used by the LIGO-Virgo-KAGRA Collaboration for the analysis of continuous gravitational waves. This method is a matched filter in the frequency domain based on the splitting in five frequencies of the expected gravitational wave frequency due to the Earth sidereal motion. The data 5-vector is composed by five components, each defined as the Fourier transform of the data in one of the five frequencies where the signal is expected. Considering $n$ detectors the standard multidetector extension considers 5n components combining the 5-vector from each detector. In this paper, we propose a new multidetector extension that takes into account the different noise levels and observation times of the considered detectors.