What are some good resources for learning how to apply vectors in physics? Although I don't have any problems with vectors when using them in Mathematics but I am having a hard time using them in physics. It is really frustrating me.
Can you please recommend me some good resources for learning how to use vectors in physics?
 A: Fundamentals of Physics 8th Ed by Halliday, Resnick and Walker has a chapter exclusively on vector quantities (titled Vector Quantities) and is a good place to start. It clearly illustrates how one can use vectors to solve problems in physics, especially mechanics (essentially, what you are looking for). However, to gain a complete understanding, it is absolutely essential to solve the exercises given in the end.
The topics covered are:


*

*What is Physics?

*Vectors and Scalars 

*Adding Vectors Geometrically    

*Components of    

*Vectors Unit Vectors    

*Adding Vectors by Components   

*Vectors and the Laws of Physics    

*Multiplying Vectors

*Questions/Problem


This is sufficient for high school physics. And keep in mind, it is absolutely essential to solve the problems. 
Now once you have mastered the basics and wish to study further, you may have to look elsewhere. There are plenty of textbooks on Mathematical Physics or Mathematical Methods available in the market that covers all the mathematics that is usually needed by an undergraduate student to do physics which includes vector analysis and vector calculus.
I personally prefer 'Mathematical Methods for Physicists 7th Ed. ' by Arfken, Weber and Harris.
If you are already very familiar with vector algebra, this is a good place to start learning vector calculus. The strength lies in some of the illustrated examples and the  exercises are also quite good. The topics covered are:


*

*Review of Basic Properties.

*Vectors in 3-D Space

*Coordinate Transformations

*Rotations in $R^3$

*Differential Vector Operators

*Differential Vector Operators: Further Properties 

*Vector Integration

*Integral Theorems 

*Potential Theory

*Curvilinear Coordinates


I hope this helps. Good luck!
