what's the difference between "vector

I'm the beginner in C++. I try to write a program to rotate a vector one by one

i.e., {1,2,3,4,5} --> {2,3,4,5,1} --> {3,4,5,1,2}

vector<vector<int>> allrot(const vector<int>& a)
{  
   vector<vector<int>> result;
   for (int i = 0; i < a.size(); i ++ ){
      rotate(a.begin(), a.begin() + 1, a.end());
      result.push_back(a);
   }
   return result;
}

This doesn't work, and I have several questions.

1. Why should I use vector<int>& a rather than vector<int> a ?
2. What's wrong with my code ?

Thank you for your help