The attack with rocket-propelled grenades destroyed the vehicle on the edge of Irbin, 5km (3 miles) east of the capital’s main Abbasid Square at around 9.30 a.m. (0630 GMT), activists said.
“Troops sealed off the area then tanks began shelling. A five-storey building was badly hit but it was empty,” activist Mohammad Saeed told Reuters, saying he was speaking by satellite phone from the suburb.
Irbin was among several northern and eastern Damascus suburbs that briefly fell under rebel control before the army seized them back at the end of January.
Syria has barred most independent journalists from the country, making it is difficult to verify reports of attacks and casualties.
(Reporting by Khaled Yacoub Oweis, Amman newsroom; Editing by Andrew Heavens)