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Mathematics - Vector Algebra

Practise 60 COMEDK previous year questions on Vector Algebra, compiled from papers spanning 2012 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 COMEDK tests.

Vector Algebra has been asked in 15 of the 15 years of COMEDK papers analysed (2012–2026), with 60 questions in all. 65% of them were easy, 32% moderate and 3% tough. Most of its questions came from 2023, with 9 questions that year. In the last three years (2024–2026) it had 19 questions across 10 papers, about 1.9 per paper.

The chapter's 4 topics are not weighted equally: Product of 2 vectors (35 questions, 58%), Algebra of Vectors (17 questions, 28%), and Scalar Triple Product (7 questions, 12%) have been asked the most. Product of 2 vectors has also led over the last five years, with 16 questions. Product of 2 vectors has produced the most tough questions (1).

  1. 1Let and be the position vectors of P and Q with respect to the origin. If points R and S divide PQ internally and externally in the ratio 2:09 May, 2026 (S1)Algebra of Vectors
  2. 2The direction ratios of the vector are09 May, 2026 (S1)Product of 2 vectors
  3. 3If the projection of on is 4 units, then09 May, 2026 (S2)Product of 2 vectors
  4. 4If and , then09 May, 2026 (S2)Product of 2 vectors
  5. 5If and are unit vectors, then which of the following value of is NOT possible25 May, 2025 (Shift)Product of 2 vectors
  6. 6The scalar product of the vector with a unit vector along the sum of the vectors and is equal to one. Then the value of ' ' is25 May, 2025 (Shift)Algebra of Vectors
  7. 7The magnitude of the projection of the vector on the z -axis is10 May, 2025 (S1)Product of 2 vectors
  8. 8If are three vectors such that , and . If then equals:10 May, 2025 (S1)Algebra of Vectors
  9. 9If and and angle between and is . If a parallelogram is constructed with adjacent sides and then the product of length of both the diagonals10 May, 2025 (S2)Algebra of Vectors
  10. 10If and are two vectors such that then the angle between and is10 May, 2025 (S3)Product of 2 vectors
  11. 11For any vector , the value of is10 May, 2025 (S3)Product of 2 vectors
  12. 12Let a, b, c be three vector such that and and . If then equals to2024 (Afternoon Shift)Product of 2 vectors
  13. 13Preview not available - open to view this question.2024 (Afternoon Shift)Product of 2 vectors
  14. 14Find the value of ' ' such that the scalar product of the vector with the unit vector parallel to the sum of the vectors and is unity2024 (Evening Shift)Algebra of Vectors
  15. 15Preview not available - open to view this question.2024 (Evening Shift)Algebra of Vectors
  16. 16The angle between the vectors and is2024 (Memory Based)Product of 2 vectors
  17. 17If and , then the unit vector in the direction of is2024 (Memory Based)Algebra of Vectors
  18. 18If the vectors and are coplanar, then the value of is2024 (Memory Based)Scalar Triple Product
  19. 19Preview not available - open to view this question.2024 (Morning Shift)Product of 2 vectors
  20. 20The scalar components of a unit vector which is perpendicular to each of the vectors and are2023 (Evening Shift)Product of 2 vectors
  21. 21Preview not available - open to view this question.2023 (Evening Shift)Product of 2 vectors
  22. 22If the position vector of a point is and divides in the ratio , then the position vector of is2023 (Evening Shift)Algebra of Vectors
  23. 23The angle between the vectors and is2023 (Memory Based)Product of 2 vectors
  24. 24If the vectors and are coplanar, then the value of is2023 (Memory Based)Scalar Triple Product
  25. 25and , then unit vector parallel to but in opposite direction is2023 (Memory Based)Algebra of Vectors
  26. 26and , then unit vector parallel to but in opposite direction is2023 (Morning Shift)Algebra of Vectors
  27. 27If the vectors and are coplanar, then the value of is2023 (Morning Shift)Scalar Triple Product
  28. 28The angle between the vectors and is2023 (Morning Shift)Product of 2 vectors
  29. 29If be the angle between the vectors and , then2022Product of 2 vectors
  30. 30If and are non-zero real numbers and and are such that , then is equal to2022Scalar Triple Product
  31. 31If and , then the unit vector in the direction of is2022Algebra of Vectors
  32. 32The vector that must be added to and so resultant vector is a unit vector along the - axis is2021Algebra of Vectors
  33. 33If and , then find the angle between and .2021Product of 2 vectors
  34. 34If for and , then find [a b c .2021Scalar Triple Product
  35. 35If and are vectors such that , then the angle between a and b is2020Product of 2 vectors
  36. 36and are two vectors of magnitudes 5 and 6 respectively. If , then OA is equal to2020Product of 2 vectors
  37. 37If , then2019Product of 2 vectors
  38. 38If and are unit vectors and a , then a is equal to2019Algebra of Vectors
  39. 39The projection of on is2019Product of 2 vectors
  40. 40A unit vector perpendicular to both the vectors and is2019Product of 2 vectors
  41. 41If , and , then is2018Product of 2 vectors
  42. 42The volume of the tetrahedron formed by the points and in cubic units is2018Scalar Triple Product
  43. 43Unit vector perpendicular to and lying in the plane containing and is2018Algebra of Vectors
  44. 44If and , then find2017Product of 2 vectors
  45. 45The value of , where , , is2017Scalar Triple Product
  46. 46If and , then the unit vector in tile direction of is2016Algebra of Vectors
  47. 47If and are the two vectors such that and , the angle between and is2016Product of 2 vectors
  48. 48If is vector perpendicular to both and , then2016Vector Triple Product
  49. 49If the area of the parallelogram with and as two adjacent sides is 15 sq units, then the area of the parallelogram having and as two adjacen2016Product of 2 vectors
  50. 50Given, two vectors and . The unit vector, coplanar with the two given vectors and perpendicular to is2015Algebra of Vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 60 questions compiled from COMEDK papers spanning 2012 to 2026.

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

These are COMEDK 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 COMEDK Mathematics?

Vector Algebra has appeared in 15 of the 15 years of COMEDK papers covered here, with 60 questions across 24 papers - about 3 per paper it appears in.

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

Of the 60 questions analysed for this chapter, 65% are easy, 32% moderate and 3% tough. 2023 had the most, with 9 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 - 35 questions (58%)
  • Algebra of Vectors - 17 questions (28%)
  • Scalar Triple Product - 7 questions (12%)
  • Product of 2 vectors has produced the most tough questions (1).
6.Is Vector Algebra's weightage in COMEDK going up or down?

Across all 24 papers analysed, Vector Algebra has averaged about 2.5 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.9 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.