Mix all ingredients (except carrots) in small bowl. Adjust flavors as needed. Add carrots to a large bowl, adding mixture in part to coating completely (you may have some vinaigrette leftover, depending on your taste).
Refrigerate for at least two hours or up to 2 days, allowing flavors to meld.
slice the bananas very thin (about 1/8''). place banana slices on a baking sheet that has been lined with parchment paper.
brush the slices with lemon juice that has been mixed with a little water. sprinkle with cinnamon. (this coating will give it a crisp "chip" texture
Dehydrator: turn the dehydrator to 135*F and allow the bananas to dehydrate for 6 to 8 hours until they are as dry or crisp as you want them to be
Oven: bake at 250 for approximately 1 1/2 hours, flipping them over halfway through