That's what my thought was And oh right I see So for molecules like CO2 and HBr it's simple to deduce if they are polar or non-polar, but for more large molecules like the one I just gave and others, what is your strategy for determining if it is polar or not?
Well for a lot of molecules it's quite easy to determine. I don't really know of a method when there are conflicting things like in this case, but unless there are values involved I think it would be pretty harsh to be asked a question on it in the exam.
I understand your point But what's confusing is in my Chemistry AS Revision guide, a molecule of NCl3 is drawn and it says there is no overall dipole
it is indeed polar, having overall dipole moment hence. look up dipole moment on NCl3 wiki page.
there is a different molecule, N(SiMe3)3 which is non polar, because it is actually planar owing to the Si 3d orbital that can allow for good dative bond with N lone pair. Perhaps the author of the book was referring to this sort of bonding, which is less effective for Cl.