Çalışkan, AbdussametŞenyurt, Süleyman2021-11-112021-11-112020-06-30https://doi.org/10.31801/cfsuasmas.487789http://hdl.handle.net/20.500.12575/76020In this paper, the vectorial moments of the alternative vectors are expressed in terms of alternative frame. According to the new versions of these vectorial moments, the parametric equations of the closed ruled surfaces corresponding to the (^N); (^C); (^W) dual curves are given. The integral invariants of the these surfaces are computed and illustrated by presenting with examples.enAlternative frameClosed ruled surfaceVectorial momentArticle6916846982618-6470