Dimensions are a type of Annotation.
Annotations are only visible in the view that they are created.
If you "duplicate with details" or "duplicate as dependent", then you'll duplicate the annotations in the previous view.
Did you "duplicate" an existing view with dimensions to create your 3-D view?
If your 3-D view is a dependent view, you'll see it associated (immediately below and slightly offset) from the other view in the project browser.
I doubt if you'd ever want a 3-D view dependent upon another, unless perhaps the view angle was identical.
If it is dependent, you can remove that dependency instead of deleting the view and starting over.
Once the view is not dependent, you can delete (instead of hide) the dimensions you don't want.
Disclaimer: I'm not sure how dimensions work in 3-D views, but you say you have them. I don't think you can tag, or at least not tag so they display correctly.
Ed
MSKTD and Associates
MEP10