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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 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find ∣h⃗∣|\vec{h}| where h⃗=(77)\vec{h} = \binom{7}{7}.

    A.

    14

    B.

    98\sqrt{98}

    C.

    7

    D.

    49

  2. 2.

    What is the magnitude of the vector (−30)\binom{-3}{0}?

    A.

    -3

    B.

    3

    C.

    0

    D.

    9

  3. 3.

    If x⃗=(23)\vec{x} = \binom{2}{3}, find x⃗+x⃗+x⃗\vec{x} + \vec{x} + \vec{x}.

    A.

    (69)\binom{6}{9}

    B.

    (56)\binom{5}{6}

    C.

    (23)\binom{2}{3}

    D.

    (827)\binom{8}{27}

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

Addition and subtraction of vectors

Subtopic

Addition and subtraction of vectors under Vectors and Transformations for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the difference (99)−(1010)\begin{pmatrix} 9 \\ 9 \end{pmatrix} - \begin{pmatrix} 10 \\ 10 \end{pmatrix}.

    A.

    (11)\begin{pmatrix} 1 \\ 1 \end{pmatrix}

    B.

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

    C.

    (1919)\begin{pmatrix} 19 \\ 19 \end{pmatrix}

    D.

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

  2. 2.

    Calculate the sum: (34)+(11)+(−2−2)\begin{pmatrix} 3 \\ 4 \end{pmatrix} + \begin{pmatrix} 1 \\ 1 \end{pmatrix} + \begin{pmatrix} -2 \\ -2 \end{pmatrix}.

    A.

    (23)\begin{pmatrix} 2 \\ 3 \end{pmatrix}

    B.

    (67)\begin{pmatrix} 6 \\ 7 \end{pmatrix}

    C.

    (45)\begin{pmatrix} 4 \\ 5 \end{pmatrix}

    D.

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

  3. 3.

    Calculate (00)−(47)\begin{pmatrix} 0 \\ 0 \end{pmatrix} - \begin{pmatrix} 4 \\ 7 \end{pmatrix}.

    A.

    (47)\begin{pmatrix} 4 \\ 7 \end{pmatrix}

    B.

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

    C.

    (−40)\begin{pmatrix} -4 \\ 0 \end{pmatrix}

    D.

    (−4−7)\begin{pmatrix} -4 \\ -7 \end{pmatrix}

Download the worksheet for Vectors and Transformations - Addition and subtraction of vectors to practice offline. It includes additional chapter-level practice questions.

Transformations: Translation, Reflection, Rotation, Enlargement

Subtopic

Transformations: Translation, Reflection, Rotation, Enlargement under Vectors and Transformations for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Point U(3,3)U(3, 3) is reflected in the line y=−xy = -x. Find U′U'.

    A.

    (-3, -3)

    B.

    (3, -3)

    C.

    (-3, 3)

    D.

    (0, 0)

  2. 2.

    Translate the point (0,−4)(0, -4) by the vector (−28)\binom{-2}{8}.

    A.

    (-2, 4)

    B.

    (2, -12)

    C.

    (-2, -12)

    D.

    (2, 4)

  3. 3.

    The point (5,2)(5, 2) is rotated 180∘180^\circ about the origin. Where is it now?

    A.

    (-5, -2)

    B.

    (-2, -5)

    C.

    (2, 5)

    D.

    (5, -2)

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