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Vectors and Transformations

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

Vector Addition, Subtraction, and Scalar Multiplication

Subtopic

Vector Addition, Subtraction, and Scalar Multiplication under Vectors and Transformations for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If (xy)+(23)=(55)\begin{pmatrix} x \\ y \end{pmatrix} + \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 5 \\ 5 \end{pmatrix}, find the values of xx and yy.

    A.

    x=3,y=2x=3, y=2

    B.

    x=7,y=8x=7, y=8

    C.

    x=2,y=3x=2, y=3

    D.

    x=3,y=8x=3, y=8

  2. 2.

    Find the result of a⃗+b⃗\vec{a} + \vec{b} where a⃗=(62)\vec{a} = \begin{pmatrix} 6 \\ 2 \end{pmatrix} and b⃗=(−6−2)\vec{b} = \begin{pmatrix} -6 \\ -2 \end{pmatrix}.

    A.

    (124)\begin{pmatrix} 12 \\ 4 \end{pmatrix}

    B.

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

    C.

    (−12−4)\begin{pmatrix} -12 \\ -4 \end{pmatrix}

    D.

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

  3. 3.

    If PQ⃗=(25)\vec{PQ} = \begin{pmatrix} 2 \\ 5 \end{pmatrix}, what is 3PQ⃗3\vec{PQ}?

    A.

    (615)\begin{pmatrix} 6 \\ 15 \end{pmatrix}

    B.

    (58)\begin{pmatrix} 5 \\ 8 \end{pmatrix}

    C.

    (65)\begin{pmatrix} 6 \\ 5 \end{pmatrix}

    D.

    (215)\begin{pmatrix} 2 \\ 15 \end{pmatrix}

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

Magnitude of a Vector

Subtopic

Magnitude of a Vector under Vectors and Transformations for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find ∣m∣|\mathbf{m}| if m=(2410)\mathbf{m} = \begin{pmatrix} 24 \\ 10 \end{pmatrix}.

    A.

    34

    B.

    14

    C.

    676

    D.

    26

  2. 2.

    What is the magnitude of the vector k⃗=(82)\vec{k} = \begin{pmatrix} 8 \\ 2 \end{pmatrix}?

    A.

    10

    B.

    6

    C.

    68\sqrt{68}

    D.

    68

  3. 3.

    Determine the magnitude of the vector n=(51)\mathbf{n} = \begin{pmatrix} 5 \\ 1 \end{pmatrix}.

    A.

    26\sqrt{26}

    B.

    6

    C.

    26

    D.

    4

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

Transformations (Reflection, Rotation, Translation, Enlargement)

Subtopic

Transformations (Reflection, Rotation, Translation, Enlargement) under Vectors and Transformations for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A point R(2,2)R(2, 2) is enlarged from the center (0,0)(0, 0) with a scale factor of 44. What is the coordinate of its image R′R'?

    A.

    (6,6)(6, 6)

    B.

    (2,8)(2, 8)

    C.

    (4,4)(4, 4)

    D.

    (8,8)(8, 8)

  2. 2.

    Point Q(4,−1)Q(4, -1) is rotated 180∘180^\circ about the origin (0,0)(0, 0). What are the coordinates of the image Q′Q'?

    A.

    (1,4)(1, 4)

    B.

    (4,1)(4, 1)

    C.

    (−4,1)(-4, 1)

    D.

    (−4,−1)(-4, -1)

  3. 3.

    A triangle has a vertex at point P(1,2)P(1, 2). What is the coordinate of the image of PP after a reflection in the xx-axis?

    A.

    (−1,2)(-1, 2)

    B.

    (1,−2)(1, -2)

    C.

    (−1,−2)(-1, -2)

    D.

    (2,1)(2, 1)

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

Vectors and Transformations - Grade 10 Maths (IGCSE) | Krit.club