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Chapter 3: Vectors and Coordinate System

Chapter 3: Vectors and Coordinate System. 3.1 Scalars and Vectors Scalar: A quantity that is fully described by a single number. Ex. Mass, temperature, volume…. Vector: A quantity having both magnitude and direction. Ex. Velocity, force, electric field….. Symbols:

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Chapter 3: Vectors and Coordinate System

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  1. Chapter 3: Vectors and Coordinate System 3.1 Scalars and Vectors Scalar: A quantity that is fully described by a single number. Ex. Mass, temperature, volume…. Vector: A quantity having both magnitude and direction. Ex. Velocity, force, electric field….. Symbols: The magnitude of a vector is a scalar quantity. •Reading 3.1—3.4

  2. Stop to think 3.1 P 76Stop to think 3.2 P 78Stop to think 3.3 P 82Stop to think 3.4 P 85 Example 3.1 P 75 Example 3.3 P 81 Example 3.6 P 84 Example 3.7 P 85

  3. Properties of Vectors • Two vectors are equal if they have the same magnitude and direction. (regardless of the starting point of the vectors)

  4. Vector Addition

  5. Graphical addition

  6. Tip-tail-rule Parallelogram rule is equivalent to tip-to-tail rule

  7. Addition for more than two vectors

  8. Vector Subtraction

  9. Quiz: which figure shows a

  10. Coordinate Systems and Vector Components

  11. Component Vectors Ax is x-component Ay is y-component

  12. components Θ is the angle from x-axis to vector

  13. Vector Algebra • Unit vectors

  14. Addition and subtraction using components • Calculate:

  15. Find

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