Any person, whether resident or nonresident, who permits the operation of a motor vehicle in the Commonwealth by his agent or employee shall be deemed to have appointed the operator of such motor vehicle his statutory agent for the purpose of service of process in any proceeding against such person growing out of any weight violation involving such motor vehicle. Acceptance by a nonresident of the rights and privileges conferred by §§ 46.2-655 through 46.2-661 shall have the same effect under this section as operation of such motor vehicle by such nonresident, his agent, or his employee.