Question:

Does the application of vicks on my nose break my fast?

Answer:
 
In the Name of Allah, the Most Gracious, the Most Merciful.
 
As-salāmu ‘alaykum wa-rahmatullāhi wa-barakātuh.

The topical application of Vicks does not invalidate one’s fast.  A substance with a discernable body must enter a valid entry point to potentially break the fast.  Merely smelling or feeling the effects of Vicks within oneself will have no implications on one’s fast.[1]
 
And Allah Ta’āla Knows Best