I think they both bring the same damage to people. By saying words you can badly humiliate people, hurt them, make them miserable and even cause certain unpleasant consequences. By the means of wars there were started the greatest wars in the world. By telling words you can upset people, and even harm yourself, your soul.
Bad actions are also unpleasant, but words have a greater influence on us - a psychological one.
So, the conclusion is that words can do more harm than actions, IMHO.

Sometimes, words has more distructive power than actions, but actually they are both very dangerous if not used wisely.

Words are dangerous for ear, actions- for averything else. I was wondering why you didn't ask about thoughts. Actually they are the most dangerous, because Thought is material!
if you have bad thoughts- the cosmos will send you bad momentsin life, if you are positive and your thoughts are pure and nice - the same will have you in life.

The world and the cosmos is something mysterious that gives you whatever you give it

To my mind words more impact than actions.

The general scheme is:

thoughts--WORDS -- ACTIONS--Results (effects)/ That's non-cancelable chain

The difference between words and actions is that word can deceive. You can say good words and then proceed with bad actions. That is why words are even more dangerous. Therefore, I trust only actions. Only actions show reflect the real human thoughts. Of course, it is wrong when words are used to play hanky-panky with other people, those who do that destroy themselves. They transmit one type thoughts to our universe, and they pronounce another type words that are in resonance with thoughts. They get cacophony from the universe as a feedback. To maintain the state а harmony a person must think, say and behave in the same tone. It helps to avoid many illnesses.

Hello! In my opinion there are exist good words and bad words. For example when you want to hear that choosen dress is beautiful and your friend agree, moreover he doesn't lie and tell you good words you feel comfort and its pleasant for you! Vise versa if he or she critic your dress and say that its ugly and don't suits you, of course you feel upset, so we can see that bad words can bring discomfort! You can ask: what should we do if this dress is nice but don't suit exactly this person, anyway you can just say good words like its nice but maybe we can search for better, or it depends only on your point of view! In this way you cant offend your lovely friend, nobody wants to hear bad words in his adress!