A convenient vector space is like a cart in a grocery store: it's a different way to organize information so it's easy to find things. In a vector space, each piece of information is stored as a number called a "vector." These vectors can be added together to figure out how different pieces of information relate to each other. For example, if you have vectors representing the height, weight and age of a person, you can add them together and it will give you a total number that you can use to compare different people. Vector spaces are a convenient way to store and analyze information because it's easy to quickly add and compare different pieces of information.