This paper issued from a doctorate in process deals with the relation between mathematics and physics about vectors / forces-velocity and translation / movement of translation. In the framework of TAD we address the issue at the level of a problem of the profession. We first give a brief account of the evolution of the teaching of vector in mathematics and physics since the end of 19th century in France. Then we give some elements of the institutional and personal relation of teachers of both subjects to the objects at stake in our study