The 1948 Flag of the Vice President of the United States, defined in Executive Order 10016, which had its own unique design for the eagle surrounded by 13 stars.  It was used until 1975.  The dimensions of the flag varied per the differing specifications used by different military services; the dimensions chosen here are the ones used by the Navy when the Vice President is aboard a large ship, 3 feet 7 inches by 5 feet 1½ inches.
Central emblem taken from File:US-VicePresident-1948Seal.svg, traced from a U.S. government work, and then sized per the specifications in File:US Vice Presidents Flag 1948 specification.jpg and File:US Vice Presidents Flag 1948 spec dimensions.jpg.
U.S. Government