MATH 2110.002

Calculus III

Spring 2009

Dwiggins

Textbook Exercises may be classified into four types:

• A – exercises to make sure you understand the basic concepts just covered -
  usually you can answer these questions without writing anything down
• B – drill exercises to make sure you are doing the calculations correctly
• C – applications to geometry and physics, these are the harder homework problems
• D – advanced problems, often proofs of statements used in advanced math and
  physics courses – these types of problems are sometimes assigned for extra credit

Chapter 12 Practice Exercises

Section 12.1 Three-Dimensional Coordinate Systems

A – page 769 # 1 – 6
B – page 769 # 7 – 18

C – page 769 # 19 – 36
D – page 770 # 37 – 40

Section 12.2 Vectors

A – page 777 # 1 – 12
B – page 777 # 13 – 24

C – pages 777-8 # 25 – 34
D – page 778 # 35 – 46

Section 12.3 The Dot Product

A – page 784 # 1 – 12
B – pages 784-5 # 13 – 20

C – page 785 # 21 – 40
D – pages 785-6 # 41 – 60

Section 12.4 The Cross Product

A – page 792 # 1 – 16
B – pages 792-3 # 17 – 36

C – page 793 # 37 – 42
D – pages 793-4 # 43 – 50

Section 12.5 Equations for Lines and Planes

A – page 802 # 1 – 5
B – page 802 # 6 – 18, # 23 – 32

C – pages 802-3 # 19 – 22, # 33 – 54
D – pages 803-4 # 55 – 78

http://www.msci.memphis.edu/faculty/dwiggins/2110/default.htm