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Cambridge IGCSE Mathematics practice

MCQ practice - 1. Depict vectors using directed line segments. 2. Apply position vectors. 3. Utilize the addition and subtraction of multiple vectors to express specified vectors in relation to two coplanar vectors. 4. Employ vectors for reasoning and resolving geometric problems, such as demonstrating that vectors are parallel, proving that three points are collinear, and tackling vector problems that involve ratios and similarity. - Vector geometry

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At a glance

MCQ

Type

cambridge_mcq

Style

Topic

Vector geometry

Exam-style question

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Which of the following best represents a vector?.

  1. A.A line segment with no direction
  2. B.A directed line segment with magnitude and direction
  3. C.A point in space
  4. D.A circle with radius

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  • Topic focus: Vector geometry.
  • Question style: cambridge_mcq.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Vector geometry

Paper 2Core or Extended Mathematics3 marks

Diagram Description

Triangle with position vectors

Points A and B have position vectors \( \vec{a} \) and \( \vec{b} \) respectively relative to the origin O. Point C lies on the line segment AB such that AC:CB = 2:1.

PointPosition Vector
A\( \vec{a} \)
B\( \vec{b} \)
C?
  1. a

    Calculate Find the position vector of point C in terms of \( \vec{a} \) and \( \vec{b} \).

    Aim for approximately 3 distinct marking points.

    [3]