Vectors and translation vectors

Vectors and translation vectors Quiz

IB MYP Maths Extended: Quiz

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5 questions, one answer each

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  1. 1. Find (2−3)+(−51)\begin{pmatrix}2\\ -3\end{pmatrix}+\begin{pmatrix}-5\\ 1\end{pmatrix}.

    • A. (−3−2)\begin{pmatrix}-3\\ -2\end{pmatrix}
    • B. (7−4)\begin{pmatrix}7\\ -4\end{pmatrix}
    • C. (−3−4)\begin{pmatrix}-3\\ -4\end{pmatrix}
    • D. (32)\begin{pmatrix}3\\ 2\end{pmatrix}

  2. 2. a=(−25)\mathbf a=\begin{pmatrix}-2\\ 5\end{pmatrix}. Find 3a3\mathbf a.

    • A. (18)\begin{pmatrix}1\\ 8\end{pmatrix}
    • B. (−215)\begin{pmatrix}-2\\ 15\end{pmatrix}
    • C. (−615)\begin{pmatrix}-6\\ 15\end{pmatrix}
    • D. (−65)\begin{pmatrix}-6\\ 5\end{pmatrix}

  3. 3. Find the magnitude of (5−12)\begin{pmatrix}5\\ -12\end{pmatrix}.

    • A. 77
    • B. 1717
    • C. 119\sqrt{119}
    • D. 1313

  4. 4. A translation takes (3,2)(3,2) to (−1,6)(-1,6). Which vector is it?

    • A. (4−4)\begin{pmatrix}4\\ -4\end{pmatrix}
    • B. (−44)\begin{pmatrix}-4\\ 4\end{pmatrix}
    • C. (28)\begin{pmatrix}2\\ 8\end{pmatrix}
    • D. (−28)\begin{pmatrix}-2\\ 8\end{pmatrix}

  5. 5. AB→=(25)\overrightarrow{AB}=\begin{pmatrix}2\\ 5\end{pmatrix} and BC→=(1−3)\overrightarrow{BC}=\begin{pmatrix}1\\ -3\end{pmatrix}. Find AC→\overrightarrow{AC}.

    • A. (18)\begin{pmatrix}1\\ 8\end{pmatrix}
    • B. (−3−2)\begin{pmatrix}-3\\ -2\end{pmatrix}
    • C. (32)\begin{pmatrix}3\\ 2\end{pmatrix}
    • D. (−18)\begin{pmatrix}-1\\ 8\end{pmatrix}

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