The Background
Well... for the first time, sort of, I have a question that doesn't tie directly into anything else. To define what I'm referring to, because I don't actually know the correct terminology, what I meant by a rocket is SpaceX's Starship, or the skiffs and shuttles of The Expanse. They look like blunt capsules, using armor to withstand reentry or engines to slow down, and then use engines to fly basically strait up.
When I said space-planes, I mean the Valkyrie's from Avatar, or the famous Space Shuttle or more recent Starchaser. For the uninformed, the Valk's are spaceplanes that use four VTOL jet engine nacelles to get up to speed, then use scramjets to get to hypersonic cruising velocity, and then use twin fusion engines to approach the ISVs.
The Question
This is a rather simple one, apart from the obvious fact that one takes off sideways, what differences do they have in regards to fuel efficieny, technology needed, advantages (like how you can fire one with giant railgun or catch skyhooks), or general reasons why one would be better than the other in circumstances?
How do they differ in use?
Why use one, or why use the other.