CHAPTER 8 — Length, Orthogonality, and the Dot Product

This chapter discusses two important facts: (1) The dot product of a column matrix with itself returns the square of the length of the vector it represents. (2) The dot product of two column matrices that represent orthogonal vectors is zero.

• The dot product and vector length
• Unit vectors
• Unit normal
• Dot products of orthogonal vectors and of their column matrices
• How to construct a vector orthogonal to a given vector