Abstract
This chapter presents definitions of vector and scalar quantities, geometrical representations of vectors, and differentiation of vectors. Any given vector may be regarded as the sum of any one of infinitely many pairs of vectors. Thus, a vector V may be regarded as the sum of each of the pairs of vectors, and each of the vectors in a given pair is called a component of V. Of the infinitely many ways of resolving a given vector into pairs of components, the most useful is the one that resolves it into components parallel to the x- and y-axes of the rectangular coordinate system. Such components are called rectangular components.
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