Chop the carrot and other veggies into small pieces.
Place everything into the food processor or blender and process.
It may take a bit for it to create a smooth, dressing like consistency. Keep pulsing and processing until it smooths out.
When it is all processed and ready to go it will be thicker than a normal dressing due to the carrot. You can add more water as you desire to thin it out. And don't forget to add a bit of salt and pepper to season it up.