The Kiwis piled on 503 runs in their first innings and have reduced India to 130 for four at the end of the second day today.
But Vijay felt the new ball is affecting batsmen in both the teams equally.
"If you see both the innings so far, the new ball did the trick for bowlers in both teams. More than the pitch or conditions, it is the new ball. Initially it tends to swing a bit more and once it gets older, it becomes much easier to bat. That is what is happening in the middle. Hopefully, Rohit (Sharma) and Ajinkya (Rahane) can build a big partnership," said Vijay.
He built a partnership with Rohit, but was undone when a brilliant delivery from left-arm seamer Neil Wagner knocked back his off-stump.
"The New Zealand bowlers were obviously swinging the ball. But we could have played much better. Maybe in the next innings, we can do that," he said.