"Звичайно, я вас знаю!"

Translation: Of course I know you!

[brjaga]

Why is it "я вас знаю" here instead of "я знаю вас"? Is the latter also correct?

[Vinnfred]

Both are correct

[GeneM.]

But I think the most likely question asked here would be "Do you remember me?" Ти пам'ятаєш менe? або Ви пам'ятаєте менe?"