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6.1

6.1. Vectors in the Plane. 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.

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6.1

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  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.

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