How to calculate affinity between arbitrary vectors?

Question

Mathematics

Hello.
There is a task:

The program
should allow to calculate the affinity between arbitrary
vectors, the parameters of the vectors and their coordinates in m-dimensional
space are set from the keyboard.
Use the Euclidean distance, the Chebyshev distance
and the Hamming distance as the rules for calculating affinities

I can't seem to find an answer to the question of what should I do. Affinity, as I understand it, is an N-dimensional space. Functions that return distance values ​​made for any number of coordinates for vectors. The functions for obtaining distances were also written. What's next? I will be glad, both to your answer, and links to the useful information.
Thanks in advance