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Vectors & Scalars 3
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Vectors & Scalars 3

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Transcript

  • 1. VECTORS AND SCALARS!
  • 2. VECTORS
    • A vector is an arrow that has size and direction.
    • The direction of the arrow is the direction of the vector.
    • Displacement & Velocity are both vectors.
  • 3. Scalar
    • Scalars describe only size .
    • Speed & Distance are both scalars
  • 4. Vector Addition
    • When adding vectors the final answer must include…
    • MAGNITUDE & DIRECTION of the final vector.
    + = 2 2 2 4 6
  • 5. Adding Parallel Vectors
    • Vectors that point in the same direction & vectors that point in the opposite direction.
    • Pointing in the same direction
    • Ex.
    Pointing in opposite direction Ex. = 3 3 6 4 6 2 = + +
  • 6. Adding Non Parallel Vectors
    • Triangle Method:
    • 1)Make the 1 st vector line up with the end of the 2 nd vector.
    • 2) The final vector will start at the start of the 1 st vector and end at the end of the 2 nd vector.
    • Ex.
    A B A B C =
  • 7. Parallelogram Method
    • 1)Make sure the vectors start at the same point.
    • 2) The final vector will be diagonal of the parallelogram made by the two vectors.
    • 3) It will start at the same pt as the two vectors.
    • Ex.
    + = + A B B A A B A B C
  • 8. Vector Components
    • Any vector can be split into X and Y components.
    • Ex.
    Ay Y Ax X A A = Ax Ay +
  • 9. Distance VS Displacement
    • Distance is a scalar quantity that describes how much was covered by the object when it was in motion.
    • Displacement is a vector quantity that describes the change in position of the object from start to end.
  • 10. Speed Vs Velocity
    • Speed is a scalar quantity that describes the rate of change in distance.
    • Velocity is a vector quantity that describes the rate of change in displacement.
    V= d/t (velocity= distance over time)

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