Who or whom

As a certified English teacher with a BA in English and Classics and as a former English teacher whose sole joy in life was to correct grammatically inept students, I am now at a loss.

I pride myself in being able to correctly use most any English word, particularly those words that most everyone else mis-uses. Who and whom are among those most commonly mis-used words.

Who is used if the clause in question is using "who" as a subject form. For example: I hate the dog who ate my homework. "ate my homework" needs a subject and homework is the object, so we would use who as the subjective form.

Whom is used if the clause is using it as an object. For example: The dog, whom I hate, got a biscuit. "I hate" already has a subject and verb, and the thing being hated is the dog, the object.

Have I lost you yet? (Yes, says Brandon)

Now, in the case of "Who does Max most look like": I believe I have phrased it properly because "look" and "look like" is an intransitive verb, meaning it does NOT take an object. If it took an object, we would use the objective form of the pronoun, which would be "whom." But since I am pretty dang sure it is intransitive and does not take an object, we still need to use "who."

The end.

Brandon says: When Jennifer first posed the question to me "who or whom", my response was "Who gives a @$#%!?" Did I use "who" correctly? I believe so, since "who" in this instance is used as a subject and... oh, forget it.