Unless you are making egg noodles, no eggs are required.
No, mayo is a sauce made from eggs, oil, vinegar and seasoning, it will not substitute for a raw egg, your recipe will spoil of fail completely. If you only have two eggs reduce the other ingredients by a third.
mayo extracts itself from eggs. so eggs provide protein moving onto mayo.
Typically, curdled mayo. Mayo contains eggs. Citrus cooks (think seviche) eggs. Adding citrus to mayo will cook the eggs in it.
Mayo is nothing but eggs and oil so you can, but you are not gaining anything.
Plain yogurt is usually a good substitute for mayo.
mayonnaise
Eggs used in mayo in whatever flavor are derived from basically eggs and some type of oil. They're not milk based components.
You can't make lasagna using cashews for filling instead of cheese because cheese is a major portion of the dish. You can substitute the cashews for the meat in any lasagna recipe.
7up, a beverage containing sugars and carbon dioxide gas, is not a substitute for eggs.
Heavy cream can be used as a substitute for eggs. You can also use some sort of oil as a substitute, but this will depend on what you are making or cooking.
you cant because there is no substitute for eggs in baking
Yes. Search for "vegan mayo recipe." Many recipes call for soy milk, lemon juice, and oil. Others call for silken tofu.