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Introduction to vectors

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  1. Which of the following is/are a vector?
    i)
    5050 miles per hour north
    ii)
    40km/s2\sqrt{40 } km/s^2
    iii)
    −43.1∘C -43.1^{\circ} C
    iv) 5641  ft35641\; ft^3
    v)
    3232 Newton at 98∘98^{\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. p⃗ \vec{p}
      2. q⃗ \vec{q}
      3. v⃗ \vec{v}
      4. w⃗ \vec{w}
    2. For the following vectors, express them in component form, matrix form, and rectangular form
      vectors in various forms

      1. v⃗ \vec{v}
      2. w⃗ \vec{w}
      3. r⃗ \vec{r}