1. 6.1
Vectors in the Plane

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. Directed Line Segment

4. Two-Dimensional Vector

5. Initial Point, Terminal Point, Equivalent

6. Head Minus Tail (HMT) Rule

7. Magnitude

8. Example Finding Magnitude of a Vector

9. Example Finding Magnitude of a Vector

10. Vector Addition and Scalar Multiplication

11. Example Performing Vector Operations

12. Example Performing Vector Operations

13. Unit Vectors

14. Example Finding a Unit Vector

15. Example Finding a Unit Vector

16. Standard Unit Vectors

17. Resolving the Vector

18. Example Finding the Components of a Vector

19. Example Finding the Components of a Vector

20. Example Finding the Direction Angle of a Vector

21. Example Finding the Direction Angle of a Vector

22. Example Finding the Direction Angle of a Vector

23. Example Finding the Direction Angle of a Vector

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.