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Mathematics - Vector Algebra

Practise 29 WBJEE previous year questions on Vector Algebra, compiled from papers spanning 2015 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty WBJEE tests.

Vector Algebra has been asked in 12 of the 18 years of WBJEE papers analysed (2009–2026), with 29 questions in all. 31% of them were easy, 69% moderate and 0% tough. Most of its questions came from 2026, with 6 questions that year. In the last three years (2024–2026) it had 12 questions across 3 papers, about 4 per paper.

The chapter's 3 topics are not weighted equally: Product of 2 vectors (14 questions, 48%), Algebra of Vectors (12 questions, 41%), and Scalar Triple Product (3 questions, 10%) have been asked the most. Product of 2 vectors has also led over the last five years, with 9 questions.

  1. 1A vector given by moves in such a way that it is always parallel to the vector . The magnitude of is2026Algebra of Vectors
  2. 2The position vectors of two adjacent sides and of a rectangle OACB are and respectively, where O is the origin. If and be the acute angle be2026Algebra of Vectors
  3. 3The point of intersection of and , where and is2026Algebra of Vectors
  4. 4If , then the value of is equal to2026Product of 2 vectors
  5. 5Let be the vector with , which makes equal angles with the vector and and is perpendicular to the vector . If the angle between and the unit2026Product of 2 vectors
  6. 6Let , where and are three non-coplanar vectors. It is given that is perpendicular to . Then the possible value(s) of is/are2026Product of 2 vectors
  7. 7Let and be vectors of equal magnitude such that the angle between and is and is and and is . Then the minimum value of is2025Product of 2 vectors
  8. 8Let be unit vectors. Suppose and the angle between and is . Then is2025Product of 2 vectors
  9. 9If and , then the area of the parallelogram for which and are adjacent sides is2025Product of 2 vectors
  10. 10If ' ' is the angle between two vectors and such that and , then the values of and are2025Product of 2 vectors
  11. 11are non-coplanar vectors and is a real number then the vectors and are non-coplanar for2025Algebra of Vectors
  12. 12A unit vector in -plane making an angle with and an angle with is2024Product of 2 vectors
  13. 13The value of ' \(a\) ' for which the scalar triple product formed by the vectors \( {a}= {i}+a {j}+ {k}, { }= {j}+a {k}\) and \( { }=a {i}+ 2023Scalar Triple Product
  14. 14If the volume of the parallelopiped with \( {a} {b}, {b} {c}\) and \( {c} {a}\) as coterminous edges is 9 cu. units., then the volume of the2023Scalar Triple Product
  15. 15If and is unit vector perpendicular to and coplanar with and , then unit vector perpendicular to both and is2022Product of 2 vectors
  16. 16If is a unit vector, , then the maximum value of is2022Scalar Triple Product
  17. 17Let be three non-zero vectors which are pairwise non-collinear. If is collinear with and is collinear with , then is2021Algebra of Vectors
  18. 18If , where are non-zero scalars, then the vectors are2021Algebra of Vectors
  19. 19The unit vector in ZOX plane, making angles and respectively with and is2020Algebra of Vectors
  20. 20If the vectors , and are three non-coplanar vectors and , then the value of abc is2020Algebra of Vectors
  21. 21Let be three unit vectors such that where If is not parallel to then the angle between and is2019Product of 2 vectors
  22. 22The position vectors of the points and are and respectively. If the points and lie on a plane, the value of is2019Algebra of Vectors
  23. 23Let and be three vectors. A vector in the plane of and , whose projection on is is given by2018Product of 2 vectors
  24. 24Let be the three unit vectors such that and the angle between and is Then is2018Product of 2 vectors
  25. 25For any vector where have their usual meanings the value of where have their usual meanings, is equal to2017Product of 2 vectors
  26. 26If the sum of two unit vectors is a unit vector, then the magnitude of their difference is2017Algebra of Vectors
  27. 27For non-zero verctors a and b, , then a and b are2016Algebra of Vectors
  28. 28Which of the following is not always true?2015Product of 2 vectors
  29. 29If the four points with position vectors and are coplanar, then is equal to2015Algebra of Vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 29 questions compiled from WBJEE papers spanning 2015 to 2026.

2.Are these questions only from WBJEE, or from other exams too?

These are WBJEE questions specifically for the Vector Algebra chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Vector Algebra an important chapter for WBJEE Mathematics?

Vector Algebra has appeared in 12 of the 18 years of WBJEE papers covered here, with 29 questions across 12 papers - about 2 per paper it appears in.

4.What is the difficulty level of Vector Algebra questions in WBJEE?

Of the 29 questions analysed for this chapter, 31% are easy, 69% moderate and 0% tough. 2026 had the most, with 6 questions.

5.Which topics in Vector Algebra should I focus on?

These topics have carried the most weightage in Vector Algebra:

  • Product of 2 vectors - 14 questions (48%)
  • Algebra of Vectors - 12 questions (41%)
  • Scalar Triple Product - 3 questions (10%)
6.Is Vector Algebra's weightage in WBJEE going up or down?

Across all 12 papers analysed, Vector Algebra has averaged about 2.4 questions per paper. In the last three years (2024–2026), that average has risen, at about 4.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.