a] The default install path for db2 is /usr/opt/db2_08_01 and it remains the same for both 8.1 and 8.2, as far as I know. It could have been done for concurrent v7 and v8 installs.
b] You cannot have 2 databases under the same instance, one using one version and the other using another. Doesn't work that way since under sqllib , sqllib/admin, etc, they all point to the same binaries.