Introduction to vectors

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Intros
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Examples
Lessons
  1. Which of the following is/are a vector?
    i)
    5050 miles per hour north
    ii)
    40km/s2\sqrt{40 } km/s^2
    iii)
    43.1C -43.1^{\circ} C
    iv) 5641  ft35641\; ft^3
    v)
    3232 Newton at 9898^{\circ} west of north
    1. For the following vectors, express them in component form, matrix form, and rectangular form
      express vectors in component form, matrix form, and rectangular form

      1. p \vec{p}
      2. q \vec{q}
      3. v \vec{v}
      4. w \vec{w}
    2. For the following vectors, express them in component form, matrix form, and rectangular form
      vectors in various forms

      1. v \vec{v}
      2. w \vec{w}
      3. r \vec{r}
    Topic Notes
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    The notion of vectors can be easily found in our daily surroundings – from airplane navigation to trajectories of balls during a sports game, to movements of a character you maneuver in your video games. In this section, we will learn about the graphical, and mathematical representation of a vector, as well as how to distinguish the differences between a scalar quantity and a vector quantity.
    Vector Quantity: a quantity having (positive) magnitude and (one) direction
    Scalar Quantity: a quantity having only magnitude but not direction
    Two – Dimensional Vectors:

    Introduction to vectors