In this study, the E. Study mapping was dermed for the space-like and time-like lines in the Minkowski 3-space R13. Hence, there is one to one correspondence between directed space-like (resp., time-like) lines of R13 and ordered pair of vectors (a,a0.) such that < a,a> = 1 (resp., < a,a> = -1) and <a,a0> = 0.
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