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MCQ 3 - J3 Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations. - Pure Mathematics - vectors

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics - vectors

Exam-style question

Try this first

Add the two-dimensional vectors (1, 2) and (3, 4).

  1. A.(4, 6)
  2. B.Not (4, 6)
  3. C.(4, 6) only sometimes
  4. D.(4, 6) with no working

Model answer

What a good answer should say

  • The correct answer is (4, 6).

This answer is tied to the objective: J3 Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations..

Explanation

Why this works

Use the explanation to connect the worked answer back to J3 Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations..

The distractors change the result or the form of the answer. The canonical solution reaches (4, 6), so (4, 6) is the only option consistent with the working.

Maths method check

  • Topic focus: Pure Mathematics - vectors.
  • Question style: practice.
  • Reasoning demand: application.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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