7.1 Vectors in 2-Space

7.2 Vectors in 3-Space

7.3 Dot Product

7.4 Cross Product

7.5 Lines and Planes in 3-Space

7.6 Vector Spaces

7.7 Gram–Schmidt Orthogonalization Process

Chapter 7 in Review

You have undoubtedly encountered the notion of vectors in your study of calculus, as well as in physics and engineering. For most of you then, this chapter is a review of familiar topics such as the dot and cross products. However, in Section 7.6 we shall consider an abstraction of the vector concept.