The concept of refined neutrosophic vector spaces was introduced by Ibrahim et al. in [ 20 ] and the present paper is the continuation of the work. In the present paper, further studies on neutrosophic vector spaces are presented. Specifically, linear dependence, independence, bases and dimensions of refined neutrosophic vector spaces are studied with several results and examples presented. Also, refined neutrosophic homomorphisms of refined neutrosophic vector spaces are studied and existence of linear maps between weak refined neutrosophic vector spaces and weak neutrosophic vector spaces are established.