The book, Elements of Vector Algebra, is written for high school and engineering students who wish to gain elementary knowledge of vectors. Algebraic and geometric interpretations of vectors, along with examples and exercises in mathematical and engineering applications, have been provided to help develop a clear understanding of the vector concepts. The book provides thorough treatment of elementary vector operators and their algebra, product of two and three vectors and various engineering and scientific applications involving these concepts. At the end of each chapter, comprehensive exercises with varying degrees of difficulty have been provided to further hone the concepts. Interdisciplinary problems that have practical applications can also be found in this book catering to the ever-extending scope of vector algebra.