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Exam-style 2 - J4 Understand and use position vectors; calculate the distance between two points represented by position vectors. - Pure Mathematics - vectors

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

At a glance

Question

Type

exam_style

Style

Topic

Pure Mathematics - vectors

Exam-style question

Try this first

Use a checking method for this problem: Add the two-dimensional vectors (1, 2) and (3, 4). State the final answer and verify it against the information in the question.

Model answer

What a good answer should say

  • A valid checked answer is (4, 6).
  • The method is: Use vector component addition for the two column vectors.
  • Add the horizontal components: 1 + 3 = 4.
  • Add the vertical components: 2 + 4 = 6.

This answer is tied to the objective: J4 Understand and use position vectors; calculate the distance between two points represented by position vectors..

Explanation

Why this works

Use the explanation to connect the worked answer back to J4 Understand and use position vectors; calculate the distance between two points represented by position vectors..

calculator check keeps the canonical answer (4, 6) fixed before the model answer is written, so the worked solution and final answer agree.

Maths method check

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

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