India won the third match in a canter to seal the series 1-0 after New Zealand were dismissed for just 175 early in the second session on the fourth day at VCA Stadium.
Following their first innings failure of 193, that saw India prevail by the margin of an innings and 198 runs, the fifth heaviest innings reverse in New Zealand history.
Vettori, of course, was not the happiest of campers after his side fell over in just 51.2 overs.
"There were a lot of negatives for us but I think India showed us how to play in these conditions, and definitely with the bat," Vettori said.
"We lost the game with the bat, unfortunately.
"Any time you lose it is a surrender and we are disappointed with our performance.
"We knew we had to be positive this morning but I think a couple of the dismissals were a little over positive."
The top order's double failure -- New Zealand had collapsed to 51 for five on the opening day here -- irreparably hurt the team's ability to stay in the game.
"In this part of the world first innings runs keep you in the game," Vettori said.
"The overall performance was poor compared to what we did in the first two test matches.
"We were exceptional (in drawn tests at Ahmedabad and Hyderabad) because we grinded it out and made sure we put enough runs on the board."
The New Zealanders will spend the next two days at Nagpur before heading to Guwahati for the opening game in a five-match one-day series which starts on Sunday.
