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HomeCXC CSEC MathematicsVectors: Position vectors, displacement vectors and geometric applications
CXC · CSEC · Mathematics

Vectors: Position vectors, displacement vectors and geometric applications
Practice Questions

20 CXC CSEC Mathematics questions on Vectors: Position vectors, displacement vectors and geometric applications, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Vectors: Position vectors, displacement vectors and geometric applications.

Try 2 sample questions on Vectors: Position vectors, displacement vectors and geometric applications

Question 1 · 1 mark · Difficulty 1/3

A vector has magnitude 10 units and makes an angle of 0° with the positive x-axis. What is the vector in component form?

  1. 10i
  2. 10j
  3. 10i + 10j
  4. 7.07i + 7.07j
Show answer & explanation
✓ Answer: A10i
Award 1 mark for correct answer. At 0° angle with x-axis, the vector lies entirely along the positive x-direction, so it is 10i + 0j = 10i. B is incorrect — this would be at 90°. C is incorrect — this would be at 45°. D is incorrect — this represents components at 45° angle.
Question 2 · 1 mark · Difficulty 1/3

In a coordinate system, the vector from point (2, 5) to point (6, 9) can be represented as:

  1. 4i + 4j
  2. 8i + 14j
  3. -4i - 4j
  4. 2i + 5j
Show answer & explanation
✓ Answer: A4i + 4j
Award 1 mark for correct answer. The displacement vector is (6-2)i + (9-5)j = 4i + 4j. B is incorrect — student has added coordinates instead of subtracting. C is incorrect — student has subtracted in wrong order. D is incorrect — student has given the position vector of the starting point.
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CXC CSEC Mathematics: Vectors: Position vectors, displacement vectors and geometric applications FAQ

How many CXC CSEC Mathematics questions on Vectors: Position vectors, displacement vectors and geometric applications are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Vectors: Position vectors, displacement vectors and geometric applications for CXC CSEC Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CXC paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CXC CSEC students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Vectors: Position vectors, displacement vectors and geometric applications practice with other Mathematics topics or even switch to a totally different CXC subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Vectors: Position vectors, displacement vectors and geometric applications questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CXC.
How is Vectors: Position vectors, displacement vectors and geometric applications typically tested on CXC CSEC Mathematics papers?
Vectors: Position vectors, displacement vectors and geometric applications appears across multiple question types on real CXC CSEC Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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