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Me and my friend are different colleges but VTU university. My friend has done the project and as well as me too. My query is our project are same to same no difference in any word. Does plagiarism still happens between us two saying that we have copied still we are different college but same university.

The fact of being at different/same colleges or different/same universities has zero bearing on whether it is considered plagiarism or not.

If you submit a project that includes someone else's work, without making it clear what is your own work and what is not (and crediting the other contributor/s properly), this is plagiarism. This is true whether the other contributor is at the same college, same university, someone not in college at all, etc...

I'll assume that you worked together on the project, rather than just completely independently coming to the same place. That seems to be what you mean.

If you work on the project together and acknowledge the joint work then it probably isn't technically plagiarism. But it will almost certainly be considered as academic misconduct if you submit the same work to two different courses unless you make the faculty aware and get permission.

Note that you (a) have to list both authors on it and (b) get specific permission.

Whether it is permitted by the faculty or not is up to them. If the work is significant enough (more than one person is expected to do) then you have a better chance of getting accepted.

But if you submit two papers, identical, but each listing only one author, then it would be plagiarism. And also, separately, academic misconduct, but of a higher order.

I think the questioner is confounding the issue of getting caught for plagiarism (the two campuses issue) versus plagiarism (the semi-miraculous production of individual assignments by two friends).

YES.

If Assignment 2 for your class ABC321 at your college is the same as Assignment 5 of class DEF234 at a different one, submitting a copy of the solutions manual for DEF234 to your professor at your college as being your own work is considered cheating even if it came from another college.

If your friend and you receive the same assignment for different classes and you decide to split the work and copy off each other it's not different than the scenario stated above: it's plagiarism.

It doesn't matter who you copied from (solutions manual from a previous year or directly from your friend) or what the thing you copied was originally (submission for ABC321 or DEF234). Plagiarism is plagiarism.

Publish the work first in both your names. Both of you would have co-copyright and original ownership of the text.

You may be breaking another rule in the class, but it's not plagiarism if you own the copyright - which you do already, but would solidify with publication.