Preheat oven to 400°F. Coat baking sheet with cooking spray. For faster clean up, line cookie sheet with foil.
In large bowl, #1, add flour.
In separate bowl, #2, beat eggs with fork for one minute.
In small bowl, #3, mix flakes, basil, cayenne, and cheese. Add salt (if desired) and pepper to taste.
Dry vegetables well. Dip them, about a cup at a time, into the flour (bowl #1), then into beaten egg (bowl #2.) Scoop them out of eggs with a slotted spoon, draining well. Then dip into coating mixture (bowl #3), gently turning to coat well.
Place veggies on prepared baking sheet so they do not touch each other. Lightly coat with cooking spray.
Bake 10 minutes. If necessary, turn pieces and bake an additional 5 minutes or until crispy and golden brown.