The two sides met in the KNVB Cup during mid-week, with the Eagles progressing 2-0, so Fred Rutten's side were under immense pressure to perform tonight. They did him proud however and avenged their opponents in style to grab their first win in five games.
Goals from Jens Toornstra, Colin Kazim-Richards and Mitchell te Vrede, as well as an own goal from Giliano Wijnaldum gave the visitors the confidence they needed to take the crucial three points.
Kazim-Richards turned creator on 28 minutes when he played a square ball towards Lex Immers, but Wijnaldum could do nothing to stop the ball deflecting off of him into his own net.
Toornstra scored his first Feyenoord goal just before the interval, with a header from Elvis Manu's cross. Colin Kazim-Richards added a third with a fantastic finish into the bottom corner after 57 minutes.
Elvis Manu grabbed his second assist of the night right at the death, with an inch-perfect cross, which Mitchell te Vrede gladly dispatched of.
The absolutely crucial win for Feyenoord lifts them into 11th, knocking Vitesse down into 12th, while Go Ahead Eagles slip further down towards the relegation zone, into 16th.