I take this question to mean "How can I show that a gravitational vector cannot produce in an object motion perpendicular to itself?"
Since a gravitational vector arises from a concentration of mass -- a mass built of particles thought to be imbued with the quality of mass by the Higgs Boson, and since no known mass is without the quantitative quality of spin, and since any object constantly under the influence of a gravity vector describes an orbit with a circular component around a rotating mass, the way for a gravitational vector to not produce in an object perpendicular motion (motion with some sort of circular component) is if the object is so far away from the gravitating mass that the influence of the gravitational vector is statisically inconsequential to the straight line path of the object, as if the gravitational vector did not actually exist.