The idea of rectifying curves in R^3 was introduced by B. Y. Chen in 2003 and many characterizations results were found with applications in kinematics and mechanics. Furthermore, we can consider rectifying curves in Minkowski spaces by extending the idea of rectifying curves in R^3 and some results have been obtained. Recently, submanifolds in Euclidean spaces R^n were developed and it can be extended to the submanifolds in Pseudo-Euclidean spaces.