It's extremely befuddling when it comes to choosing between two libraries and frameworks, especially when they are almost similar to each other.
So, the selection is a bit complex task and, as I had to, you might need to go through a systematic and understand the two technologies or web development framework thoroughly.
So, you need to begin following the one-by-one method.
What is Framework?
A framework is a model on which you have to build your home. It is having a collection of blueprints which from which it choose the right one for you. In short, the framework is in charge of the flow and it chooses when and how to go.
What is the Library?
The library is like going to a furniture house to get some furniture for your home. Here you are in charge of the flow and you decide when to call the code.
Overview of Angular and KnockoutJS