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created 08/26/97; revised 08/10/00; 07/22/03; 07/22/09; 01/10/15

CHAPTER 4 — Vector Length

This chapter discusses the length of vectors and how length is computed using the column matrix representation of vectors. The next chapter will discuss another vector property, direction. Vectors of all dimensions have length and direction. But to make the discussion easier to visualize most of the examples in this chapter use vectors in 2D space.


Vectors aligned with axes

What do you suppose is the length of the vector represented by:   (3, 0)T   ?