I have a new Vivitar 5100 5MP digital camera.  After I take a photo,
it does not show the picture, as my old digital camera would
automatically do.  Is there a setting on the Vivitar 5100 so I can
automatically preview a shot just taken?

Hello mcvic-ga,

Unfortunately, for your camera, there is no way to set this automatically. 

The quickest way to view a picture right after taking it is to press
the MODE button twice. You will instantly see the last picture
recorded. You can then press the MODE button once to get out of the
view mode and to take the next picture.

I hope this helps. Please let me know if you require any clarification
and I will do my best to further assist you.

tisme-ga


Search Strategy:

searched vivitar.com
read the user manual 
searched generic terms such as vivitar 5100, vivitar 5100 features etc.

I appreciate your research.

A simple phone call to the manufacturer should resolve that.  Does
your manual not have a customer service or technical support number
listed somewhere?