The Vivitar 1900 is a very simple manual flash, that has no power level controls.
I would not consider it safe to use the flash in the hotshoe of your Sony NEX-6 because of the high trigger voltage. I would use a “safe sync” or wireless remote to trigger the flash to protect the camera’s circuitry.
Use the NEX-6 in Manual mode so you have full control over aperture and shutter speed. The NEX-6 has a max flash speed of 1/160 so 1/90 or 1/125 would be a good shutter speed to use.
The chart on the back shows you what aperture to use based on the ISO used in your camera, and the subject to flash shooting distance. Each time you change the flash to subject distance, the aperture will have to be recalculated.
If the flash is angled to the side of the subject, less light will fall directly on the subject so the resulting exposure will probably be darker. Trial and error will be necessary.
If your photos are too bright you can :
lower the ISO to 100
change to a higher aperture (like f/16)
move the flash farther from your subject
In this example using ISO 400, the subject is 10 feet away from the front of the flash, so the aperture should be set to f/11