Calculus WS 2023/24 Quiz
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Questions and Answers

What defines two vectors as equal?

  • Having different magnitude and direction
  • Having different magnitude but the same direction
  • Having the same magnitude and direction (correct)
  • Having the same magnitude but different direction
  • In vector notation, what does $\vec{a}$ equal to $\vec{b}$ imply?

  • $\vec{a}$ and $\vec{b}$ have the same length but different directions
  • $\vec{a}$ and $\vec{b}$ have different lengths but the same direction
  • $\vec{a}$ and $\vec{b}$ have the same length and direction (correct)
  • $\vec{a}$ and $\vec{b}$ have different lengths and directions
  • What is the position vector $\vec{b}$ in relation to point O?

  • $\vec{b} = \begin{pmatrix} 0 \ 0 \ 0 \end{pmatrix}$
  • $\vec{b} = \begin{pmatrix} -1 \ 2 \ 0 \end{pmatrix}$
  • $\vec{b} = \begin{pmatrix} 0 \ -2 \ 1 \end{pmatrix}$
  • $\vec{b} = \begin{pmatrix} 1 \ 1 \ 3 \end{pmatrix}$ (correct)
  • What does the notation $\vec{c}_A$ represent?

    <p>$\vec{c}_A$ represents the vector from point O to point A</p> Signup and view all the answers

    What is the relationship between vectors $\vec{b}$ and $\vec{a}_A$?

    <p>$\vec{b} - \vec{a}_A = \begin{pmatrix} -2 \ 1 \ -3 \end{pmatrix}$</p> Signup and view all the answers

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