1. Chapter 3. Vectors and Coordinate Systems
Our universe has three dimensions, so some quantities also need a direction for a full description. For example, wind has both a speed and a direction; hence the motion of the wind is described by a vector.
Chapter Goal: To learn how vectors are represented and used.

2. Chapter 3. Vectors and Coordinate Systems
Topics:
Vectors
Properties of Vectors
Coordinate Systems and Vector Components
Vector Algebra

3. Chapter 3. Reading Quizzes

4. What is a vector? A quantity having both size and direction
The rate of change of velocity
A number defined by an angle and a magnitude
The difference between initial and final displacement
None of the above
Answer: A

5. What is a vector? A quantity having both size and direction
The rate of change of velocity
A number defined by an angle and a magnitude
The difference between initial and final displacement
None of the above
IG3.1

6. What is the name of the quantity represented as ? ^
Eye-hat
Invariant magnitude
Integral of motion
Unit vector in x-direction
Length of the horizontal axis
Answer: C

7. What is the name of the quantity represented as ? ^
Eye-hat
Invariant magnitude
Integral of motion
Unit vector in x-direction
Length of the horizontal axis
IG3.2

8. This chapter shows how vectors can be added using
graphical addition.
algebraic addition.
numerical addition.
both A and B.
both A and C.
Answer: D

9. This chapter shows how vectors can be added using
graphical addition.
algebraic addition.
numerical addition.
both A and B.
both A and C.
IG3.3

10. To decompose a vector means
to break it into several smaller vectors.
to break it apart into scalars.
to break it into pieces parallel to the axes.
to place it at the origin.
This topic was not discussed in Chapter 3.
Answer: C

11. To decompose a vector means
to break it into several smaller vectors.
to break it apart into scalars.
to break it into pieces parallel to the axes.
to place it at the origin.
This topic was not discussed in Chapter 3.
IG3.4

12. Chapter 3. Basic Content and Examples

15. EXAMPLE 3.2 Velocity and displacement
QUESTION:

16. EXAMPLE 3.2 Velocity and displacement

17. EXAMPLE 3.2 Velocity and displacement

18. EXAMPLE 3.2 Velocity and displacement

19. EXAMPLE 3.2 Velocity and displacement

20. Tactics: Determining the components of a vector

26. EXAMPLE 3.3 Finding the components of an acceleration vector

27. EXAMPLE 3.3 Finding the components of an acceleration vector

28. EXAMPLE 3.3 Finding the components of an acceleration vector

29. EXAMPLE 3.3 Finding the components of an acceleration vector

32. EXAMPLE 3.5 Run rabbit run!

33. EXAMPLE 3.5 Run rabbit run!

34. EXAMPLE 3.5 Run rabbit run!

35. EXAMPLE 3.5 Run rabbit run!

38. EXAMPLE 3.7 Finding the force perpendicular to a surface

39. EXAMPLE 3.7 Finding the force perpendicular to a surface

40. EXAMPLE 3.7 Finding the force perpendicular to a surface

41. Chapter 3. Summary Slides

42. Important Concepts

43. Important Concepts

44. Using Vectors

45. Using Vectors

46. Using Vectors

47. Using Vectors

48. Chapter 3. Clicker Questions

49. Which figure shows ?
Answer C

50. Which figure shows ?
STT3.1

51. Which figure shows 2 − ?
Answer A

52. Which figure shows 2 − ?
STT3.2

53. What are the x- and y-components Cx and Cy of vector ?
Cx = 1 cm, Cy = –1 cm
Cx = –3 cm, Cy = 1 cm
Cx = –2 cm, Cy = 1 cm
Cx = –4 cm, Cy = 2 cm
Cx = –3 cm, Cy = –1 cm
Answer D

54. What are the x- and y-components Cx and Cy of vector ?
Cx = 1 cm, Cy = –1 cm
Cx = –3 cm, Cy = 1 cm
Cx = –2 cm, Cy = 1 cm
Cx = –4 cm, Cy = 2 cm
Cx = –3 cm, Cy = –1 cm
STT3.3

55. Angle φ that specifies the direction of is given by
tan–1(Cy /Cx)
tan–1(Cx /|Cy|)
tan–1(Cy /|Cx|)
tan–1(Cx /Cy)
tan–1(|Cx |/|Cy|)
Answer D

56. Angle φ that specifies the direction of is given by
tan–1(Cy /Cx)
tan–1(Cx /|Cy|)
tan–1(Cy /|Cx|)
tan–1(Cx /Cy)
tan–1(|Cx |/|Cy|)
STT3.4