Abstract
Using curves in Euclidean 3-space with Bishop vectors, we study the tangent, first and second normals, Darboux lines and their dual spherical indicatrices. In addition, we investigate the development of the ruled surfaces that correspond to Bishop vectors of a dual curve in Dual 3-space D-3 . Moreover, we calculate the dual angles and lengths of pitch of the closed ruled surfaces. Furthermore, we obtain some relations between Bishop and Darboux vectors of these surfaces. Finally, we give two computational examples in support of our main results.