Akbıyık, Mücahit2025-03-092025-03-0920232548-0391https://doi.org/10.30931/jetas.1338660https://hdl.handle.net/20.500.12662/5102In this paper, we first define the vector product in a special analog Minkowski Geometry (R^3,) which is identified with the space of spatial hybrids. Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using the spatial hybrids and the vector product. However, we present the Frenet-Serret frame formulae of a non-lightlike hybrid curve in R^4 and an illustrative example for all theorems of the paper with MATLAB 2016a codes.eninfo:eu-repo/semantics/openAccessHybrid numbersCurvaturesFrenet-Serret frame formulaeArticle10.30931/jetas.133866013031198