created 08/26/97; revised 08/12/00; 07/23/03


CHAPTER 8 — Length, Orthogonality, and the Column Matrix 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.

QUESTION 1:

Let v = ( 3, 4 )T

  1. v · v = ?
  2. The length of v = ?