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- Vector Analysis is a classical subject dealing with those aspects of vectors which have application in Applied Mathematics and Physics. The Physicist J. Willard Gibbs is considered the founder of Vector Analysis. It has some historical connection with Hamilton’s theory of Quaternions. Linear Alge-bra, which is the algebraic study of ﬁnite dimensional vector spaces, also bears some
- 4 Chapter 1 Vector Analysis FIGURE 1.5 Cartesian components and direction cosines of A. (x,y,z), is denoted by the special symbol r. We then have a choice of referring to the dis-placement as either the vector r or the collection (x,y,z), the coordinates of its endpoint: r ↔(x,y,z). (1.3) Using r for the magnitude of vector r, we ﬁnd that Fig. 1.5 shows that the endpoint coor-dinates and
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