You don't say whether this is an astronomical telescope or a terrestrial one (spotting scope). However, I have a Vivitar scope which was sold as an astronomical scope, but is actually a spotting scope, although it uses astronomical style eyepieces, so...
I am not sure that it is the eyepiece you want, either. It is hard to break an eyepiece, but much easier to break the eyepiece mount or diagonal mirror fitting.
Most astronomical telescopes use a standard fitting eyepiece with a 1.25 inch outside diameter barrel. You can measure the mount where the eyepiece goes to make sure that yours is this size, then search on eBay or Amazon for "1.25 eyepiece" and you will find many available. It doesn't have to be made by Vivitar, any make will fit.
The other variable will be the focal length of the eyepiece, which is what determines it's power. The power of the scope will be the focal length of the main objective divided by the focal length of the eyepiece, so a 9mm eyepiece will give a higher magnification (and be dimmer and harder to focus and find objects) than a 20mm eyepiece. It is usual to have two or three different focal length eyepieces for viewing different objects.
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