CIE IAL · Mathematics · 9709 P3 · Vectors
Topic Questions: • use formulae to calculate the scalar product of two vectors, and use scalar products in problems involving lines and points — 9709 P3 Vectors
53 9709 P3 Vectors topic questions are tagged to this syllabus point across 37 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.
Core finding
This Vectors syllabus point appears in 37 9709 P3 papers across 2020–2026, contributing 53 topic questions and 207 marks. The most recent appearance is 9709/32 May/June 2026. That equals 39.8% of the 133 topic questions and 44.0% of the 470 marks tagged to Vectors. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.
Topic questions by session
Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use Go to Practice Hub to answer that exact question in the Interactive Practice Hub.
| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
|---|---|---|---|---|---|---|
| 9709/32May/June 2026 · CIE IAL | Q9 3D Lines and Geometry - CIE A Level Mathematics 2026 June Paper 32 Q9 |
FRQ | 1 of 3 parts ((c)) | 6 of 12 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2026 · CIE IAL | Q11 3D Lines Angle and Perpendicular Distance - CIE Pure Mathematics 2026 Q11 |
FRQ | 2 of 3 parts ((b), (c)) | 8 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2026 · CIE IAL | Q11 Perpendicular Distance and Vector Angle Equations - CIE P3 2026 Mar Q11 |
FRQ | 2 parts ((a), (b)) | 12 | Hard | Go to Practice Hub |
| 9709/31October/November 2025 · CIE IAL | Q11 Vector Equations of Lines and Intersection - CIE Pure Mathematics 2025 Nov Q11 |
FRQ | 1 of 3 parts ((c)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/32October/November 2025 · CIE IAL | Q11 3D Vector Geometry and Triangle Area - CIE A Level Maths 2025 Winter P32 Q11 |
FRQ | 2 of 3 parts ((b), (c)) | 7 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/33October/November 2025 · CIE IAL | Q9 3D Vectors and Lines - CIE Pure Mathematics 2025 Nov Paper 33 Q9 |
FRQ | 2 of 3 parts ((a), (b)) | 6 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/35October/November 2025 · CIE IAL | Q9 3D Line Vectors Intersecting and Angle - CIE A Level Mathematics 2025 Winter Paper 35 Q9 |
FRQ | 2 of 3 parts ((a), (c)) | 6 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/31May/June 2025 · CIE IAL | Q8 3D Vector Lines and Intersection - CIE Pure Mathematics 2025 Jun Paper 31 Q8 |
FRQ | 1 of 3 parts ((c)) | 3 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/32May/June 2025 · CIE IAL | Q9 3D Vectors and Area of Triangle - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q9 |
FRQ | 2 of 3 parts ((b), (c)) | 7 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/33May/June 2025 · CIE IAL | Q9 3D Vector Line and Reflection - CIE A-Level Math 2025 Jun Paper 33 Q9 |
FRQ | 1 of 3 parts ((b)) | 4 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/35May/June 2025 · CIE IAL | Q10 3D Vectors Rhombus Properties and Scalar Product - CIE A Level Mathematics |
FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/32March 2025 · CIE IAL | Q8 Skew Lines and Angle Calculation - CIE A-Level Math 2025 Mar Paper 32 Q8 |
FRQ | 1 of 2 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/31October/November 2024 · CIE IAL | Q9 Vector Lines and Scalar Product Angle - CIE A-Level Maths 2024 Nov Paper 31 Q9 |
FRQ | 1 of 3 parts ((c)) | 5 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/33October/November 2024 · CIE IAL | Q6 Vector Line Intersections and Triangle Area - CIE A-Level Pure Mathematics 2024 Nov Q6 |
FRQ | 2 of 3 parts ((b), (c)) | 6 of 7 on the paper |
Medium | Go to Practice Hub |
| 9709/31May/June 2024 · CIE IAL | Q9 Perpendicular Lines and Reflection in 3D Vectors - CIE A-Level Maths 2024 Jun Paper 31 Q9 |
FRQ | 1 of 4 parts ((a)) | 1 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2024 · CIE IAL | Q10 Angle Between 3D Lines and Intersection - CIE A-Level Pure Mathematics |
FRQ | 1 of 2 parts ((a)) | 6 of 11 on the paper |
Hard | Go to Practice Hub |
| 9709/32March 2024 · CIE IAL | Q9 Rectangle Verification with Vectors - CIE 9709 March 2024 Paper 32 Q9 |
FRQ | 2 parts ((a), (b)) | 8 | Medium | Go to Practice Hub |
| 9709/32October/November 2023 · CIE IAL | Q10 3D Lines Angle and Perpendicular Distance - CIE 9709 2023 Nov Paper 32 Q10 |
FRQ | 2 parts ((a), (b)) | 9 | Medium | Go to Practice Hub |
| 9709/31May/June 2023 · CIE IAL | Q6 Vectors and Parallelogram Area - CIE Pure Mathematics 2023 Q6 |
FRQ | 2 of 3 parts ((b), (c)) | 7 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/32May/June 2023 · CIE IAL | Q11 Skew Lines and Perpendicular Foot in 3D Vectors - CIE Pure Mathematics 2023 Q11 |
FRQ | 1 of 2 parts ((b)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/33May/June 2023 · CIE IAL | Q9 3D Lines and Perpendicular Projection - CIE Pure Mathematics 3 2023 Jun Q9 |
FRQ | 2 parts ((a), (b)) | 10 | Medium | Go to Practice Hub |
| 9709/32March 2023 · CIE IAL | Q10 Angle and Intersection of 3D Lines - CIE Pure Mathematics 2023 Mar Paper 32 Q10 |
FRQ | 1 of 3 parts ((a)) | 3 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/32October/November 2022 · CIE IAL | Q6 Vector Scalar Product and Area - CIE Pure Mathematics 2022 Nov Paper 32 Q6 |
FRQ | 2 parts ((a), (b)) | 8 | Easy | Go to Practice Hub |
| 9709/31May/June 2022 · CIE IAL | Q9 3D Vectors Cuboid Perpendicular Distance - CIE Pure Mathematics 2022 Jun Paper 31 Q9 |
FRQ | 1 of 3 parts ((c)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/32May/June 2022 · CIE IAL | Q9 3D Lines Intersection and Perpendicularity - CIE Mathematics 2022 Jun Q9 |
FRQ | 1 of 3 parts ((b)) | 4 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/33May/June 2022 · CIE IAL | Q9 Perpendicular Projection and Reflection in 3D Lines - CIE A Level Mathematics 2022 Jun Paper 33 Q9 |
FRQ | 2 of 3 parts ((a), (b)) | 7 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2022 · CIE IAL | Q10 3D Lines and Vectors - CIE A Level Mathematics 2022 Mar Paper 32 Q10 |
FRQ | 1 of 3 parts ((b)) | 3 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/33October/November 2021 · CIE IAL | Q8 Vectors and Lines in 3D Geometry - CIE 9709 W21 P33 Q8 |
FRQ | 1 of 2 parts ((b)) | 4 of 9 on the paper |
Medium | Go to Practice Hub |
| 9709/31May/June 2021 · CIE IAL | Q8 Line and Point Vector Geometry - CIE Mathematics 2021 Jun Paper 31 Q8 |
FRQ | 2 parts ((a), (b)) | 9 | Medium | Go to Practice Hub |
| 9709/32May/June 2021 · CIE IAL | Q11 Vector Magnitudes, Scalar Product, and Line Points - CIE 9709 2021 Jun Paper 32 Q11 |
FRQ | 1 of 2 parts ((a)) | 4 of 10 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2021 · CIE IAL | Q9 Vector Geometry of Trapezium - CIE 9709 2021 Jun Paper 33 Q9 |
FRQ | 1 of 3 parts ((c)) | 5 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/32March 2021 · CIE IAL | Q7 Skew Lines and Angle Between Vectors - CIE A-Level Mathematics 2021 March Paper 32 Q7 |
FRQ | 1 of 2 parts ((b)) | 3 of 8 on the paper |
Medium | Go to Practice Hub |
| 9709/31October/November 2020 · CIE IAL | Q11 3D Line Intersections and Vector Angles - CIE 9709 W20 P31 Q11 |
FRQ | 1 of 2 parts ((b)) | 6 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/33October/November 2020 · CIE IAL | Q11 Line Intersections and Angles in 3D Vectors - CIE Pure Mathematics 2020 Nov Paper 33 Q11 |
FRQ | 1 of 2 parts ((b)) | 6 of 11 on the paper |
Medium | Go to Practice Hub |
| 9709/31May/June 2020 · CIE IAL | Q9 3D Vectors and Perpendicular Distance - CIE 2020 Jun Paper 31 Q9 |
FRQ | 2 of 3 parts ((a), (c)) | 7 of 9 on the paper |
Easy | Go to Practice Hub |
| 9709/33May/June 2020 · CIE IAL | Q8 3D Vectors and Parallelogram Properties - CIE Pure Mathematics 2020 Jun Q8 |
FRQ | 2 of 3 parts ((b), (c)) | 5 of 10 on the paper |
Medium | Go to Practice Hub |
| 9709/32March 2020 · CIE IAL | Q8 3D Cuboid Vectors and Foot of Perpendicular - CIE Pure Mathematics 3 March 2020 Q8 |
FRQ | 1 of 3 parts ((c)) | 4 of 9 on the paper |
Easy | Go to Practice Hub |
Related topic questions in Vectors
• calculate the magnitude of a vector, and use unit vectors, displacement vectors and position vectors
90 marks · 2020–2026
• carry out addition and subtraction of vectors and multiplication of a vector by a scalar, and interpret these operations in geometrical terms
35 marks · 2020–2025
• determine whether two lines are parallel, intersect or are skew, and find the point of intersection of two lines when it exists
89 marks · 2020–2026
• understand the significance of all the symbols used when the equation of a straight line is expressed in the form , and find the equation of a line, given sufficient information
81 marks · 2020–2026
• use standard notations for vectors, i.e. , , , , ,
11 marks · 2020–2022
Topic question rules and edge cases
- How many topic questions cover this syllabus point?
- 37 question stems cover this subtopic across 37 papers, but only 53 tagged parts and 207 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.
- Which papers include this subtopic?
- The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.
- Why can one question appear under several subtopics?
- The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.
- Can I practise these questions with AI marking?
- Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.