In Bankers Algorithm, with three processes, in the question of need <= work(aka available). Is the need of 1 0 1 <= 0 0 2 work?
In Banker's Algorithm,

Every processes are compared individually.

So, In your question

If the Need is 1 0 1 and available matrix is 0 0 2, then this need can't be satisfied. Because there is no resource available for Process A.