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Answer first
Vector Algebra PYQs (previous year questions) for JEE Main: Vector Algebra (Mathematics) had 11 questions across the 11 official JEE Main papers we tagged (2016–2026), and appeared in 10 of them. Asked in 3 of 3 years. The concepts asked in the most papers: Vector Products, Dot and Cross Product, Magnitude of Vectors.
Year-wise question count
Asked in 3 of 3 years.
| Year | Papers | Questions | Per paper |
|---|---|---|---|
| JEE Main 2026 | 9 | 9 | 1 |
| JEE Main 2017 | 1 | 1 | 1 |
| JEE Main 2016 | 1 | 1 | 1 |
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Vector Products | 3 | 3 | 2026 |
| Dot and Cross Product | 2 | 2 | 2026, 2017 |
| Angle Between Vectors | 1 | 1 | 2026 |
| Dot Product | 1 | 1 | 2026 |
| Magnitude of Vectors | 1 | 1 | 2026 |
| Section Formula | 1 | 1 | 2026 |
| Vector Equations | 1 | 1 | 2026 |
| Vector Triple Product | 1 | 1 | 2016 |
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 Main2026
- Q.14 (2 April, shift 1) · MCQ · Magnitude of Vectors: Maximum of a weighted sum of magnitudes of 3a+2b and 3a-2b (official answer: option 3) PDF
- Q.14 (2 April, shift 2) · MCQ · Dot Product: Find |c|^2 for c = lambda a + mu b from two dot product conditions (official answer: option 2) PDF
- Q.16 (2 April, shift 2) · MCQ · Angle Between Vectors: Rotate a parallelogram side to be perpendicular; evaluate a trig expression (official answer: option 2) PDF
- Q.15 (4 April, shift 2) · MCQ · Dot and Cross Product: Express λ in terms of A·u and A·v for unit vectors u, v (official answer: option 1) PDF
- Q.14 (5 April, shift 1) · MCQ · Vector Equations: Vector r with r×a+a×b=0 and r·a=0; find |3r|² (official answer: option 1) PDF
- Q.16 (5 April, shift 2) · MCQ · Section Formula: Express PM in terms of position vectors a and b (official answer: option 2) PDF
- Q.23 (6 April, shift 1) · Numerical · Vector Products: Given a x c = b and a.c = 3, evaluate c.(a-2b) (official answer: 3) PDF
- Q.15 (6 April, shift 2) · MCQ · Vector Products: Square of area of triangle on sides 2a+3b and a-b (official answer: option 3) PDF
- Q.14 (8 April, shift 2) · MCQ · Vector Products: Find c.(i+j-3k) from a cross product relation and a.c = 15 (official answer: option 2) PDF
JEE Main2017
- Q.84 · MCQ · Dot and Cross Product: Value of a.c from given magnitude and angle conditions PDF
JEE Main2016
- Q.85 · MCQ · Vector Triple Product: Angle between unit vectors from a triple product condition PDF
Vector Algebra in other exams
The same chapter in other official papers we tagged: JEE Advanced (20 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 Main?
In the official papers we tagged: 9 in 2026 (9 papers), 1 in 2017 (1 paper) and 1 in 2016 (1 paper). That is 11 questions in all, about 4% of Mathematics.
Which Vector Algebra topics repeat in JEE Main?
Asked in the most papers: Vector Products, Dot and Cross Product, Magnitude of Vectors. The concept table lists every one with its count.
Are these official JEE Main questions?
Yes. Every question is from an official JEE Main paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.