Jump to a section

Mathematics - Vector Algebra

Practise 42 VITEEE previous year questions on Vector Algebra, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Vector Algebra has been asked in 16 of the 18 years of VITEEE papers analysed (2006–2024), with 42 questions in all. 50% of them were easy, 26% moderate and 24% tough. Most of its questions came from 2008, with 5 questions that year. In the last three years (2022–2024) it had 7 questions across 3 papers, about 2.3 per paper.

The chapter's 5 topics are not weighted equally: Product of 2 vectors (16 questions, 38%), Vector Triple Product (12 questions, 29%), and Algebra of Vectors (10 questions, 24%) have been asked the most. Over the last five years the most frequent topics have been Algebra of Vectors (5), parallelopipid (1), and Product of 2 vectors (1). Vector Triple Product has produced the most tough questions (4).

  1. 1If the unit vectors and are inclined at and , then if lies in the interval.2024Algebra of Vectors
  2. 2The volume of the parallelopiped whose edges are represented by , and is2024parallelopipid
  3. 3If \( {p}= ( {u} {v})+ ( {v} {w})+v( {w} {u})\) and \([ { {u}} { {v}} { {w}}]= {1}{5}\), then \( + +v\) is equal to2023Vector Triple Product
  4. 4A girls walks \(4 {~km}\) towards West. Then, she walks \(3 {~km}\) in a direction \(30^{ }\) East to North and stops. The girls displacemen2023Algebra of Vectors
  5. 5\( {ABC}\) is a triangle and \( {P}\) is any point on \( {BC}\) such that \( {P Q}\) is the resultant of the vectors \( { {AP}}, { {PB}}\) a2022Algebra of Vectors
  6. 6If \( { {a}}, { {b}}, { {c}}\) are three unit vectors such that \( { {b}}\) is not parallel to \( { {c}}\) and \( { {a}} ( { {b}} { {c}})= {2022Algebra of Vectors
  7. 7P, Q, R, S are the points \((-2,3,4),(-4,4,6),(4,3,5)\) and \((0,1,2)\). Then projection of \(P Q\) on \(R S\) is2022Algebra of Vectors
  8. 8If and then . is equal to :2021Product of 2 vectors
  9. 9The position vector of and are and The length of the internal bisector of of triangle is2019Algebra of Vectors
  10. 10If and , then is equal to2019Product of 2 vectors
  11. 11What is the length of the projection of on the -plane ?2018Product of 2 vectors
  12. 12A unit vector perpendicular to the plane formed by the points and is2018Product of 2 vectors
  13. 13If and , then is2018Vector Triple Product
  14. 14If , then which of the following is always true?2017Vector Triple Product
  15. 15If vectors and are coplanar, then find2017Algebra of Vectors
  16. 16If then the value of is (given that )2016Product of 2 vectors
  17. 17The moment about the point of a force represented by acting through the point is2016Product of 2 vectors
  18. 18If and , then the angle between and is given by2015Product of 2 vectors
  19. 19If and are three non-coplanar vectors, then equals2015Scalar Triple Product
  20. 20For any three vectors and is2015Scalar Triple Product
  21. 21If and [a b c] , then is equal to2014Product of 2 vectors
  22. 22If are three non-coplanar vectors and are reciprocal vectors, then . is equal to2014Product of 2 vectors
  23. 23The volume of the tetrahedron included between the plane and the coordinate planes is2014Vector Triple Product
  24. 24The vector is to be written as the sum of a vector parallel to and a vector perpendicular to a. Then is equal to2013Algebra of Vectors
  25. 25If and are resultant of a force , then the angle between and is2012Algebra of Vectors
  26. 26If and , then the area of Parallelogram having diagonals and is2012Vector Triple Product
  27. 27The projection of the vector on the vector is2011Product of 2 vectors
  28. 28If are three non-zero vectors such that and , then2011Product of 2 vectors
  29. 29If . The set of all values of for which is real, is2010Vector Triple Product
  30. 30The principal value of is2010Product of 2 vectors
  31. 31A rod of length slides with its ends on two perpendicular lines. Then, the locus of its mid point is2010Product of 2 vectors
  32. 32The degree of the differential equation of all curves having normal of constant length is2010Vector Triple Product
  33. 33The center and radius of the sphere are2008Vector Triple Product
  34. 34The length of the parabola cut off by the latus-rectum is2008Product of 2 vectors
  35. 35If , then I is equal to2008Product of 2 vectors
  36. 36The probability that a certain kind of component will survive a given shock test is . The probability that exactly 2 of the next 4 component2008Vector Triple Product
  37. 37The plane through the point and containing the line of intersection of the planes and is2008Vector Triple Product
  38. 38The non integer roots of2006Algebra of Vectors
  39. 39The number of real tangents through that can be drawn to the ellipses and is2006Vector Triple Product
  40. 40Determine which one of the following relations on is not transitive.2006Vector Triple Product
  41. 41An unprepared student takes five-questions of true-false type quiz and guesses every answer. What is the probability that the student will p2006Scalar Triple Product
  42. 42The probability density of a continuous random variable is given by . Then the value of is2006Product of 2 vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 42 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Vector Algebra has appeared in 16 of the 18 years of VITEEE papers covered here, with 42 questions across 16 papers - about 3 per paper it appears in.

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

Of the 42 questions analysed for this chapter, 50% are easy, 26% moderate and 24% tough. 2008 had the most, with 5 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 - 16 questions (38%)
  • Vector Triple Product - 12 questions (29%)
  • Algebra of Vectors - 10 questions (24%)
  • Vector Triple Product has produced the most tough questions (4).
6.Is Vector Algebra's weightage in VITEEE going up or down?

Across all 16 papers analysed, Vector Algebra has averaged about 2.6 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.