This book is a simple introduction to vectors and is for high school students in calculus up through college students in their second year of mathematics. Get this book before the "real" math books get a hold of you and complicate the topic of vectors. Read this first and then when they try to make it obscure in your later course work, you can smile to yourself because you understand.
Read the first four chapters to assist with High School / Freshman calculus and physics use of vectors. The first 4 chapters are 48 pages of a book the size of a popular paperback. It wont overload you to read this in addition to your course work IF it CLEARS things up.
Read the remainder of the book in your sophmore year at college to simplify your study of vector (multivariable) calculus, and linear algebra.
I own a copy online and a hard copy of this book. I have loaned it out to students I have tutored in math.
Note that modular math also has a book out on multivariable or vector calculus. As a second year college math student, also consider that book to carry you further along..Vector Calculus (Modular Mathematics Ser)