Someday Angelenos could buy their next used car from a vending machine. Someday soon.

Carvana, an e-commerce platform for buying used cars, has launched in Los Angeles — its largest market to date and its first on the West Coast.

L.A. metro-area residents can now log on to Carvana.com, browse more than 7,000 vehicles, finance, purchase and even trade in an old car without ever visiting a dealership.

The process takes as few as 10 minutes, and Carvana (NYSE: CVNA) will deliver the car as soon…