1. Copyright © 2011 Pearson, Inc. 6.1 Vectors in the Plane

2. Copyright © 2011 Pearson, Inc. Slide 6.1 - 2 What you’ll learn about Two-Dimensional Vectors Vector Operations Unit Vectors Direction Angles Applications of Vectors … and why These topics are important in many real-world applications, such as calculating the effect of the wind on an airplane’s path.

3. Copyright © 2011 Pearson, Inc. Slide 6.1 - 3 Directed Line Segment

4. Copyright © 2011 Pearson, Inc. Slide 6.1 - 4 Two-Dimensional Vector

5. Copyright © 2011 Pearson, Inc. Slide 6.1 - 5 Initial Point, Terminal Point, Equivalent

6. Copyright © 2011 Pearson, Inc. Slide 6.1 - 6 Head Minus Tail (HMT) Rule

7. Copyright © 2011 Pearson, Inc. Slide 6.1 - 7 Magnitude

8. Copyright © 2011 Pearson, Inc. Slide 6.1 - 8 Example Finding Magnitude of a Vector

9. Copyright © 2011 Pearson, Inc. Slide 6.1 - 9 Example Finding Magnitude of a Vector

10. Copyright © 2011 Pearson, Inc. Slide 6.1 - 10 Vector Addition and Scalar Multiplication

11. Copyright © 2011 Pearson, Inc. Slide 6.1 - 11 Example Performing Vector Operations

12. Copyright © 2011 Pearson, Inc. Slide 6.1 - 12 Example Performing Vector Operations

13. Copyright © 2011 Pearson, Inc. Slide 6.1 - 13 Unit Vectors

14. Copyright © 2011 Pearson, Inc. Slide 6.1 - 14 Example Finding a Unit Vector

15. Copyright © 2011 Pearson, Inc. Slide 6.1 - 15 Example Finding a Unit Vector

16. Copyright © 2011 Pearson, Inc. Slide 6.1 - 16 Standard Unit Vectors

17. Copyright © 2011 Pearson, Inc. Slide 6.1 - 17 Resolving the Vector

18. Copyright © 2011 Pearson, Inc. Slide 6.1 - 18 Example Finding the Components of a Vector

19. Copyright © 2011 Pearson, Inc. Slide 6.1 - 19 Example Finding the Components of a Vector

20. Copyright © 2011 Pearson, Inc. Slide 6.1 - 20 Example Finding the Direction Angle of a Vector

21. Copyright © 2011 Pearson, Inc. Slide 6.1 - 21 Example Finding the Direction Angle of a Vector

22. Copyright © 2011 Pearson, Inc. Slide 6.1 - 22 Example Finding the Direction Angle of a Vector

23. Copyright © 2011 Pearson, Inc. Slide 6.1 - 23 Example Finding the Direction Angle of a Vector

24. Copyright © 2011 Pearson, Inc. Slide 6.1 - 24 Velocity and Speed The velocity of a moving object is a vector because velocity has both magnitude and direction. The magnitude of velocity is speed.

25. Copyright © 2011 Pearson, Inc. Slide 6.1 - 25 Quick Review

26. Copyright © 2011 Pearson, Inc. Slide 6.1 - 26 Quick Review

27. Copyright © 2011 Pearson, Inc. Slide 6.1 - 27 Quick Review Solutions

28. Copyright © 2011 Pearson, Inc. Slide 6.1 - 28 Quick Review Solutions