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Vectors and Transformations

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Vector Notation and Magnitude

Subtopic

Vector Notation and Magnitude under Vectors and Transformations for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the result of adding (12)\begin{pmatrix} 1 \\ 2 \end{pmatrix}, (34)\begin{pmatrix} 3 \\ 4 \end{pmatrix}, and (56)\begin{pmatrix} 5 \\ 6 \end{pmatrix}?

    A.

    (810)\begin{pmatrix} 8 \\ 10 \end{pmatrix}

    B.

    (1515)\begin{pmatrix} 15 \\ 15 \end{pmatrix}

    C.

    (912)\begin{pmatrix} 9 \\ 12 \end{pmatrix}

    D.

    (129)\begin{pmatrix} 12 \\ 9 \end{pmatrix}

  2. 2.

    If v⃗=(x3)\vec{v} = \begin{pmatrix} x \\ 3 \end{pmatrix} and its magnitude is 5, what is a possible value for xx?

    A.

    4

    B.

    2

    C.

    16

    D.

    8

  3. 3.

    Find the magnitude of the vector (22)\begin{pmatrix} 2 \\ 2 \end{pmatrix}.

    A.

    4

    B.

    8\sqrt{8}

    C.

    2

    D.

    8

Download the worksheet for Vectors and Transformations - Vector Notation and Magnitude to practice offline. It includes additional chapter-level practice questions.

Vector Addition and Subtraction

Subtopic

Vector Addition and Subtraction under Vectors and Transformations for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If x⃗=(93)\vec{x} = \begin{pmatrix} 9 \\ 3 \end{pmatrix}, find 13x⃗−(31)\frac{1}{3}\vec{x} - \begin{pmatrix} 3 \\ 1 \end{pmatrix}.

    A.

    (31)\begin{pmatrix} 3 \\ 1 \end{pmatrix}

    B.

    (62)\begin{pmatrix} 6 \\ 2 \end{pmatrix}

    C.

    (00)\begin{pmatrix} 0 \\ 0 \end{pmatrix}

    D.

    (−3−1)\begin{pmatrix} -3 \\ -1 \end{pmatrix}

  2. 2.

    In triangle ABCABC, the vector AB⃗\vec{AB} is represented by c\mathbf{c} and the vector AC⃗\vec{AC} is represented by b\mathbf{b}. Find the vector BC⃗\vec{BC}.

    A.

    b+c\mathbf{b} + \mathbf{c}

    B.

    c−b\mathbf{c} - \mathbf{b}

    C.

    b−c\mathbf{b} - \mathbf{c}

    D.

    2b−c2\mathbf{b} - \mathbf{c}

  3. 3.

    If v⃗=(2−4)\vec{v} = \begin{pmatrix} 2 \\ -4 \end{pmatrix}, find v⃗−(−12)\vec{v} - \begin{pmatrix} -1 \\ 2 \end{pmatrix}.

    A.

    (3−6)\begin{pmatrix} 3 \\ -6 \end{pmatrix}

    B.

    (1−2)\begin{pmatrix} 1 \\ -2 \end{pmatrix}

    C.

    (3−2)\begin{pmatrix} 3 \\ -2 \end{pmatrix}

    D.

    (1−6)\begin{pmatrix} 1 \\ -6 \end{pmatrix}

Download the worksheet for Vectors and Transformations - Vector Addition and Subtraction to practice offline. It includes additional chapter-level practice questions.

Reflection, Rotation, Translation, and Enlargement

Subtopic

Reflection, Rotation, Translation, and Enlargement under Vectors and Transformations for Grade 9 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Point K(1,2)K(1, 2) is translated by (1010)\binom{10}{10} and then by (−5−5)\binom{-5}{-5}. What is the final position?

    A.

    (11, 12)

    B.

    (5, 5)

    C.

    (6, 7)

    D.

    (16, 17)

  2. 2.

    A vector w⃗\vec{w} is (−14)\binom{-1}{4}. What is −2w⃗-2\vec{w}?

    A.

    (2−8)\binom{2}{-8}

    B.

    (−28)\binom{-2}{8}

    C.

    (28)\binom{2}{8}

    D.

    (−32)\binom{-3}{2}

  3. 3.

    What is the image of (0,6)(0, 6) after a reflection in the xx-axis?

    A.

    (6, 0)

    B.

    (0, -6)

    C.

    (-6, 0)

    D.

    (0, 0)

Download the worksheet for Vectors and Transformations - Reflection, Rotation, Translation, and Enlargement to practice offline. It includes additional chapter-level practice questions.

Vectors and Transformations - Grade 9 Maths (IGCSE) | Krit.club