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Mathematics - Vector Algebra

Practise 46 Manipal (MET) 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 Manipal (MET) tests.

Vector Algebra has been asked in 15 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 46 questions in all. 74% of them were easy, 24% moderate and 2% tough. Most of its questions came from 2010, with 6 questions that year. In the last three years (2022–2024) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 4 topics are not weighted equally: Algebra of Vectors (22 questions, 48%), Product of 2 vectors (18 questions, 39%), and Scalar Triple Product (5 questions, 11%) have been asked the most. Algebra of Vectors has also led over the last five years, with 4 questions. Algebra of Vectors has produced the most tough questions (1).

  1. 1Given three vectors and each two of which are non collinear. Further if is collinear with , is collinear with and . Then, the value of is2024Algebra of Vectors
  2. 2If the vectors , and are coplanar, then the value of is____2023Algebra of Vectors
  3. 3If and vectors and are non-coplanar, then the product is _____2022Algebra of Vectors
  4. 4The value of is2021Product of 2 vectors
  5. 5. If and are mutually perpendicular, then value of is2021Product of 2 vectors
  6. 6The value of is2021Product of 2 vectors
  7. 7is equal to2021Scalar Triple Product
  8. 8A parallelogram is constructed on the vectors . If and the angle between and is , then length of a diagonal of the parallelogram is2021Algebra of Vectors
  9. 9Three concurrent edges of a parallelopiped are given by The volume of the parallelopiped is2020Scalar Triple Product
  10. 10If and are three non-coplanar vectors, then is equal to2020Scalar Triple Product
  11. 11The number of vectors of unit length perpendicular to vectors and , is2020Product of 2 vectors
  12. 12If and , then2019Algebra of Vectors
  13. 13If and are non-collinear vectors such that for some scalars, , , then2019Algebra of Vectors
  14. 14A parallelogram is constructed on the vectors . If and the angle between and is , then length of a diagonal of the parallelogram is2018Algebra of Vectors
  15. 15If and , then2018Algebra of Vectors
  16. 16The work done by the force in moving a particle along a straight line from the point to is2018Algebra of Vectors
  17. 17If , then and are2018Algebra of Vectors
  18. 18The area of a parallelogram with diagonals as and is2018Product of 2 vectors
  19. 19If the projection of on are respectively 12, 3 and 4, then the magnitude of is2017Algebra of Vectors
  20. 20and are mutually perpendicular, then value of is2017Algebra of Vectors
  21. 21If the position vectors of are respectively and , then the projection of on is equal to2017Product of 2 vectors
  22. 22If are any three mutually perpendicular vectors of equal magnitude , then2017Algebra of Vectors
  23. 23If and be two perpendicular unit vectors such that , then is equal to2016Algebra of Vectors
  24. 24If and are any two non-collinear unit vectors and is any vector, then is equal to2016Algebra of Vectors
  25. 25is equal to2015Product of 2 vectors
  26. 26In a , if , then the triangle is2015Algebra of Vectors
  27. 27Let a,b and c be non-zero vectors such that no two are collinear and . If is the acute angle between the vectors and , then equals2015Algebra of Vectors
  28. 28Let and . If is a vector such that and the angle between and is . Then, is equal to2015Vector Triple Product
  29. 29If and , then the angle between and is2014Product of 2 vectors
  30. 30If are and and terms of a GP, then the vectors and are2014Product of 2 vectors
  31. 31If be the angle between the unit vectors a and b, then is equal to2013Product of 2 vectors
  32. 32If , then is equal to2013Product of 2 vectors
  33. 33If the scalar projection of the vector on the vector is then value of is equal to2013Product of 2 vectors
  34. 34If and be the moduli of the vectors , c respectively, then2013Product of 2 vectors
  35. 35A unit vectors coplanar with and and perpendicular to is2013Algebra of Vectors
  36. 36The value of is2012Scalar Triple Product
  37. 37If and , then2012Product of 2 vectors
  38. 38If and are non-collinear vectors such that for some scalars , then2011Algebra of Vectors
  39. 39Let , be three vectors such that and and , if . then, equals2011Product of 2 vectors
  40. 40The vectors and are such that form a right handed system, then is2011Product of 2 vectors
  41. 41In a trapezoid of the vector . We will, then find that is collinear with . If , then2010Algebra of Vectors
  42. 42Let and , if is a vector such that and the angle between and is , then is equal to2010Product of 2 vectors
  43. 43Consider a tetrahedron with faces . Let be the vectors whose magnitudes are respectively equal to areas of and whose directions are perpendi2010Algebra of Vectors
  44. 44If is the volume of the parallelopiped having three coterminus edges as and , then the volume of the parallelopiped having three coterminus 2010Scalar Triple Product
  45. 45Let us define the length of a vector as . This definition coincides with the usual definition of length of a vector , iff2010Algebra of Vectors
  46. 46Let and , if is a unit vector such that and , then is equal to2010Product of 2 vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 46 questions compiled from Manipal (MET) papers spanning 2010 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Vector Algebra has appeared in 15 of the 15 years of Manipal (MET) papers covered here, with 46 questions across 15 papers - about 3 per paper it appears in.

4.What is the difficulty level of Vector Algebra questions in Manipal (MET)?

Of the 46 questions analysed for this chapter, 74% are easy, 24% moderate and 2% tough. 2010 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:

  • Algebra of Vectors - 22 questions (48%)
  • Product of 2 vectors - 18 questions (39%)
  • Scalar Triple Product - 5 questions (11%)
  • Algebra of Vectors has produced the most tough questions (1).
6.Is Vector Algebra's weightage in Manipal (MET) going up or down?

Across all 15 papers analysed, Vector Algebra has averaged about 3.1 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.