Vectors

Vectors Quiz

Spec G24–G25 · Edexcel GCSE Maths: Quiz

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  1. 1. Which of the following represents the column vector with 3 units horizontally and 5 units vertically?

    • A. (35)\begin{pmatrix} 3 \\ 5 \end{pmatrix}
    • B. (53)\begin{pmatrix} 5 \\ 3 \end{pmatrix}
    • C. (3, 5)
    • D. 3 + 5i

  2. 2. If vector a = (2−3)\begin{pmatrix} 2 \\ -3 \end{pmatrix}, what is 2a?

    • A. (4−6)\begin{pmatrix} 4 \\ -6 \end{pmatrix}
    • B. (2−3)\begin{pmatrix} 2 \\ -3 \end{pmatrix}
    • C. (−46)\begin{pmatrix} -4 \\ 6 \end{pmatrix}
    • D. (43)\begin{pmatrix} 4 \\ 3 \end{pmatrix}

  3. 3. Vector u = (43)\begin{pmatrix} 4 \\ 3 \end{pmatrix}. What is the magnitude of vector u?

    • A. 5
    • B. 7
    • C. √7
    • D. √25

  4. 4. Given vectors p = (21)\begin{pmatrix} 2 \\ 1 \end{pmatrix} and q = (−13)\begin{pmatrix} -1 \\ 3 \end{pmatrix}, find p + q.

    • A. (14)\begin{pmatrix} 1 \\ 4 \end{pmatrix}
    • B. (3−2)\begin{pmatrix} 3 \\ -2 \end{pmatrix}
    • C. (12)\begin{pmatrix} 1 \\ 2 \end{pmatrix}
    • D. (−14)\begin{pmatrix} -1 \\ 4 \end{pmatrix}

  5. 5. Points A and B have position vectors a = (12)\begin{pmatrix} 1 \\ 2 \end{pmatrix} and b = (46)\begin{pmatrix} 4 \\ 6 \end{pmatrix} respectively. What is the vector from A to B?

    • A. (34)\begin{pmatrix} 3 \\ 4 \end{pmatrix}
    • B. (58)\begin{pmatrix} 5 \\ 8 \end{pmatrix}
    • C. (−3−4)\begin{pmatrix} -3 \\ -4 \end{pmatrix}
    • D. (22)\begin{pmatrix} 2 \\ 2 \end{pmatrix}

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