Chapter 2 - VECTOR ALGEBRA

Abstract

Publisher Summary This chapter presents vector algebra, which is an important tool of physics. Vectors are mathematical quantities that are used to describe physical quantities that have both magnitude and direction. It describes the operations of vector addition, subtraction, and multiplication by a number. The chapter presents two types of vector multiplication, which are selected because of their usefulness in physics. The chapter presents all of the vector equations from both geometric and algebraic point of view. At first, the geometric approach seems easier to understand. However, later, as one gains proficiency in using vectors, one will find that the algebraic approach is better suited for precise computation. An advantage of using vector components is that graphical or geometric manipulation of complicated vector problems can be replaced by algebraic and numerical manipulation.