Know:
* I know the answer to that question.
* Do you know how to get to the library?
* We know that it's important to recycle.
* They know each other very well.
No:
* No, I don't want any dessert.
* No, that's not the right answer.
* There is no way I can finish this project by tomorrow.
* I have no idea what you're talking about.
Using both words in a sentence:
* I know that you want to go, but no, it's not possible.
* Do you know what time the movie starts? No, but I can check online.
* I know the answer, but I'm not going to tell you.
As you can see, "know" is a verb that means to have information or understanding, while "no" is a negative response or a word that means "not any."