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Mathematics - Vector Algebra

Practise 14 NEST (NISER) previous year questions on Vector Algebra, compiled from papers spanning 2011 to 2023. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty NEST (NISER) tests.

Vector Algebra has been asked in 12 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 14 questions in all. 0% of them were easy, 79% moderate and 21% tough. Most of its questions came from 2022, with 2 questions that year. In the last three years (2024–2026) it had 0 questions across 4 papers, about 0 per paper.

The chapter's 4 topics are not weighted equally: Product of 2 vectors (6 questions, 43%), Algebra of Vectors (4 questions, 29%), and Vector Triple Product (2 questions, 14%) have been asked the most. Product of 2 vectors has also led over the last five years, with 1 question. Product of 2 vectors has produced the most tough questions (2).

  1. 1Let and be non-zero vectors. Let be the set of vectors such that . Then2023 (Session 2)Product of 2 vectors
  2. 2Let and be two nonzero and non-parallel vectors in three dimensional right handed rectangular coordinate system. Consider the set Then2022 (Session 1)Vector Triple Product
  3. 3Let and be three non-zero vectors in the three dimensional right handed rectangular coordinate system. Then2022 (Session 2)Algebra of Vectors
  4. 4Let be three mutually orthogonal unit vectors. Let and . Then2021 (Session 2)Algebra of Vectors
  5. 5Let and be any three vectors. Then2020 (Session 2)Product of 2 vectors
  6. 6For two vectors and , define Then2019 (Session 1)Product of 2 vectors
  7. 7Let and be two given vectors in and . Consider the equation Then2019 (Session 2)Scalar Triple Product
  8. 8Let be non-constant and differentiable functions. Define and . Then2018Product of 2 vectors
  9. 9Let be three mutually orthogonal unit vectors and let be three distinct real numbers. If the vectors and are coplanar then2017Algebra of Vectors
  10. 10Let and be two non-collinear vectors and . If then is2016Product of 2 vectors
  11. 11The value of for which the volume of the tetrahedron formed by , and is largest is2015Scalar Triple Product
  12. 12Suppose and be three vectors of length and 1 respectively such that The acute angle between and is2014Vector Triple Product
  13. 13Let be three non-coplanar vectors in the three dimensional -space. Which of the following vector(s) lies (lie) in the plane containing and ?2013Algebra of Vectors
  14. 14Define a binary operation on the set of all 3 -dimensional vectors by . Suppose and are any three non-coplanar vectors satisfying . If2011Product of 2 vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 14 questions compiled from NEST (NISER) papers spanning 2011 to 2023.

2.Are these questions only from NEST (NISER), or from other exams too?

These are NEST (NISER) 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 NEST (NISER) Mathematics?

Vector Algebra has appeared in 12 of the 16 years of NEST (NISER) papers covered here, with 14 questions across 14 papers - about one per paper it appears in.

4.What is the difficulty level of Vector Algebra questions in NEST (NISER)?

Of the 14 questions analysed for this chapter, 0% are easy, 79% moderate and 21% tough. 2022 had the most, with 2 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 - 6 questions (43%)
  • Algebra of Vectors - 4 questions (29%)
  • Vector Triple Product - 2 questions (14%)
  • Product of 2 vectors has produced the most tough questions (2).
6.Is Vector Algebra's weightage in NEST (NISER) going up or down?

Across all 14 papers analysed, Vector Algebra has averaged about 1.0 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.