Now what's really cool about this, is besides just being able to express the components as now multiple of explicit vectors, instead of just being able to do that which we did do, or we are representing the components as explicit vectors we also know that the vector, v is the sum of its components, if you add, if you start with this, this green vector right here and you add this vertical component right over here you have head to tails you get, you get the blue vector, and so we can actually use the components to represent the vector itself we don't always have to draw like this