Expressions used in Everyday Spoken English in Social and Professional contexts
When you 'zero/zoom/home in on' something, you get closer to a goal or you focus your attention and your efforts towards achieving something or getting somewhere. You might 'zero in on' that promotion you've been looking for, or 'home in on' a bargain you saw from the opposite side of a busy store. 'Zoom in on' would be heard less, and might sometimes sound a little awkward, because it generally applies to fast physical movement or making something visually larger to examine it closely. In this regard, it's less figurative than the other two options.