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Mathematics - Vector Algebra

Practise 25 BITSAT previous year questions on Vector Algebra, compiled from papers spanning 2010 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 BITSAT tests.

Vector Algebra has been asked in 14 of the 16 years of BITSAT papers analysed (2009–2024), with 25 questions in all. 48% of them were easy, 32% moderate and 20% tough. Most of its questions came from 2010, with 4 questions that year. In the last three years (2022–2024) it had 6 questions across 5 papers, about 1.2 per paper.

The chapter's 3 topics are not weighted equally: Algebra of Vectors (15 questions, 60%), Product of 2 vectors (9 questions, 36%), and Scalar Triple Product (1 question, 4%) have been asked the most. Algebra of Vectors has also led over the last five years, with 5 questions. Algebra of Vectors has produced the most tough questions (4).

  1. 1Let ABC be a triangle and be the position vectors of respectively. Let D divide in the ratio internally and divide AD in the ratio internall2024 (Memory Based Paper 2)Algebra of Vectors
  2. 2If , then the value of is equal to2024 (Memory Based Paper 2)Algebra of Vectors
  3. 3Let and . Then, depends on2024 (Memory Based Paper 3)Scalar Triple Product
  4. 4If and , then is2023 (Memory Based Paper 1)Product of 2 vectors
  5. 5A vector perpendicular to the plane containing the vectors and is inclined to the vector at an angle2023 (Memory Based Paper 2)Product of 2 vectors
  6. 6107. and are two non-collinear unit vectors such that . Then the value of is equal to2022Algebra of Vectors
  7. 7If is a vector of magnitude 50 , collinear with the vector and makes an acute angle with the positive direction of - axis, then is equal to2021Algebra of Vectors
  8. 8If and arenon-zero constant vectors and the scalar is chosen such that is minimum, then the value of is equal to2020Algebra of Vectors
  9. 9If a , b , c are non-coplaner vectors such that b c = a ; c a = b ; a b = c , then which of the following is not TRUE?2019Algebra of Vectors
  10. 10If a = i ^ + 2 j ^ + 3 k ^ , b = - i ^ + 2 j ^ + k ^ , c = 3 i ^ + j ^ and a + p b is normal to c , then p is equal to2019Product of 2 vectors
  11. 11In a A B C , D , E , F are the mid-points of the sides B C , C A and A B respectively, the vector A D is equal to2018Algebra of Vectors
  12. 12If h is the altitude of a parallelopiped determined by the vectors a ^ , b ^ , c ^ and the base is taken to be the parallelogram determined 2018Algebra of Vectors
  13. 13Let a ^ and b ^ are two non-collinear unit vectors. If u = a ^ - a ^ b ^ b ^ and v = a ^ b ^ , then | v | is equal to2017Algebra of Vectors
  14. 14Let and be three vectors satisfying and . If then equals2015Product of 2 vectors
  15. 15If the middle points of sides of triangle are respectively then position vector of centre of triangle , when position vector of are respecti2014Algebra of Vectors
  16. 16The angle between any two diagonal of a cube is2014Product of 2 vectors
  17. 17If are three unit vectors such that where is null vector, then is :2013Algebra of Vectors
  18. 18If vectors and are coplanar, then the value of a is2013Algebra of Vectors
  19. 19The unit vector perpendicular to the vectors and is2012Product of 2 vectors
  20. 20If .b .c and , then correct statement is2012Product of 2 vectors
  21. 21Two vectors \( {A}\) and \( {B}\) are such that \(| { {A}}+ { {B}}|=| { {A}}- { {B}}|\). The angle between the two vectors will be-2011Algebra of Vectors
  22. 22The solution of differential equation \(2 x {d y}{d x}-y=3\) represents a family of2010Product of 2 vectors
  23. 23If \(( {a} {b})^2+( {a} {b})^2=676\) and \(| {b}|=2\) then \(| {a}|\) is equal to2010Product of 2 vectors
  24. 24Which one of the following is the unit vector perpendicular to both \( {a}=- {i}+ {j}+ {k}\) and \( { {b}}= { {i}}- { {j}}+ { {k}}\) ?2010Algebra of Vectors
  25. 25With respect to a rectangular cartesian coordinate system, three vectors are expressed as : \( {a}=4 {i}- {j}, {b}=-3 {i}+2 {j}\) and \( {c}2010Algebra of Vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 25 questions compiled from BITSAT papers spanning 2010 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Vector Algebra has appeared in 14 of the 16 years of BITSAT papers covered here, with 25 questions across 16 papers - about 2 per paper it appears in.

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

Of the 25 questions analysed for this chapter, 48% are easy, 32% moderate and 20% tough. 2010 had the most, with 4 questions.

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

These topics have carried the most weightage in Vector Algebra:

  • Algebra of Vectors - 15 questions (60%)
  • Product of 2 vectors - 9 questions (36%)
  • Scalar Triple Product - 1 question (4%)
  • Algebra of Vectors has produced the most tough questions (4).
6.Is Vector Algebra's weightage in BITSAT going up or down?

Across all 16 papers analysed, Vector Algebra has averaged about 1.6 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.