Chapter 6

Section 6.1, Extension of Exercise 64 (page 513)

Use vectors to prove that the 4-sided figure determined by the midpoints of the 4 sides of a quadrilateral is a parallelogram.

Section 6.2, Extension of Exercise 68 (page 521)

Let u and v be nonzero vectors with

(a) For any vector w, prove that there are real numbers a and b such that
(b) Illustrate with

Section 6.5, Extension of Exercise 69 (page 549)

Determine the smallest -interval that will produce a complete graph of How many petals does the graph?

Art instructions: Draw the graph of The scale marks are 1 on both axes.