1. 6.36.3 Vectors in the Plane

2. Quick Review

3. Quick Review Solutions

4. What you’ll learn about How to represent vectors as directed line segments How to perform basic Vector Operations How to write vectors as linear combinations of Unit Vectors How to find the Direction Angles of vectors How to use vectors to model and solve real-life problems … and why These topics are important in many real-world applications, such as calculating the effect of the wind on an airplane’s path.

5. Directed Line Segment

6. Two-Dimensional Vector

7. Initial Point(R), Terminal Point(S), Equivalent(P)

8. Magnitude

9. Example Finding Magnitude of a Vector

11. Vector Addition and Scalar Multiplication

13. Example Performing Vector Operations

15. Unit Vectors

17. Example Finding a Unit Vector

19. Standard Unit Vectors

20. Resolving the Vector

22. Example Finding the Components of a Vector

27. Example Finding the Direction Angle of a Vector

29. 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.