What are the smallest and largest values of vectors Let v and w be two vectors with ||v|| = 3 and ||w|| = 4. What is the largest and smallest possible values of v · w?
I found this question in the textbook and I'm not sure how to solve this since I just started linear algebra. Any help is appreciated.

We have $||v+w||^2=|| v||^2+ ||w||^2+2(v\cdot w)$.  The smallest possible value of $||v+w||^2$ is $1$, when the vectors are pointing in opposite directions, and the largest possible value is $49$, when they point in the same direction. 
