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Vector Algebra PYQs (previous year questions) for JEE Advanced: Vector Algebra (Mathematics) had 20 questions across the 22 official JEE Advanced papers we tagged (2016–2026), and appeared in 18 of them. Asked in 11 of 11 years. The concepts asked in the most papers: Vector Products, Scalar Triple Product, Cross Product.
Year-wise question count
Asked in 11 of 11 years, with 2 papers each year.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Vector Products | 6 | 6 | 2024, 2022, 2021, 2020, 2019 |
| Cross Product | 3 | 3 | 2025, 2017, 2016 |
| Scalar Triple Product | 3 | 3 | 2026, 2023, 2021 |
| Dot Product | 2 | 2 | 2018, 2017 |
| Coplanarity | 1 | 1 | 2025 |
| Position Vectors | 1 | 1 | 2023 |
| Projection of Vectors | 1 | 1 | 2020 |
| Section Formula | 1 | 1 | 2025 |
| Vector Magnitudes | 1 | 1 | 2026 |
| Vector Triple Product | 1 | 1 | 2018 |
How to practise Vector Algebra PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Vector Algebra questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.
JEE Advanced2026
JEE Advanced2025
- Q.9 (Paper 1) · Numerical · Section Formula: Ratio of segment lengths for a point inside a triangle given a vector relation (official answer: 1.15–1.25) PDF
- Q.16 (Paper 1) · Matching · Cross Product: Match vector magnitudes and parameters from cross product relations (official answer: A) PDF
- Q.12 (Paper 2) · Numerical · Coplanarity: Find alpha + beta when three combined vectors lie in a plane (official answer: -2) PDF
JEE Advanced2024
JEE Advanced2023
JEE Advanced2022
- Q.13 (Paper 2) · MSQ · Vector Products: Statements on vectors satisfying dot and cross product conditions (official answer: B, C, D) PDF
JEE Advanced2021
JEE Advanced2020
JEE Advanced2019
- Q.14 (Paper 2) · Numerical · Vector Products: Minimum of an expression with projection and cross product (official answer: 18) PDF
JEE Advanced2018
JEE Advanced2017
JEE Advanced2016
- Q.50 (Paper 2) · MSQ · Cross Product: Choices of vector v satisfying cross and triple product conditions (official answer: B, C) PDF
Vector Algebra in other exams
The same chapter in other official papers we tagged: JEE Main (11 questions).
Other Mathematics chapters
- Sets, Relations and Functions PYQs
- Complex Numbers and Quadratic Equations PYQs
- Matrices and Determinants PYQs
- Permutations and Combinations PYQs
- Binomial Theorem PYQs
- Sequences and Series PYQs
- Limits, Continuity and Differentiability PYQs
- Integral Calculus PYQs
- Differential Equations PYQs
- Coordinate Geometry PYQs
- Three-Dimensional Geometry PYQs
- Statistics and Probability PYQs
- Trigonometry PYQs
FAQ
How many Vector Algebra questions come in JEE Advanced?
In the official papers we tagged: 2 in 2026, 3 in 2025, 2 in 2024, 2 in 2023, 1 in 2022, 2 in 2021, 2 in 2020, 1 in 2019, 2 in 2018, 2 in 2017 and 1 in 2016 (2 papers each year). That is 20 questions in all, about 5% of Mathematics.
Which Vector Algebra topics repeat in JEE Advanced?
Asked in the most papers: Vector Products, Scalar Triple Product, Cross Product. The concept table lists every one with its count.
Are these official JEE Advanced questions?
Yes. Every question is from an official JEE Advanced paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.