Vectors in Two or Three Dimensions

Book excerpt: Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout.Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories.* Adopts a geometric approach* Develops gradually, building from basics to the concept of isometry and vector calculus* Assumes virtually no prior knowledge* Numerous worked examples, exercises and challenge questions