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Mathematics - Vector Algebra

Practise 473 MHTCET previous year questions on Vector Algebra, compiled from papers spanning 2007 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 MHTCET tests.

Vector Algebra has been asked in 17 of the 17 years of MHTCET papers analysed (2007–2026), with 473 questions in all. 38% of them were easy, 54% moderate and 8% tough. Most of its questions came from 2024, with 88 questions that year. In the last three years (2024–2026) it had 235 questions across 59 papers, about 4 per paper.

The chapter's 4 topics are not weighted equally: Product of 2 vectors (191 questions, 40%), Algebra of Vectors (165 questions, 35%), and Scalar Triple Product (87 questions, 18%) have been asked the most. Product of 2 vectors has also led over the last five years, with 153 questions. Product of 2 vectors has produced the most tough questions (14).

  1. 1If , and are three vectors such that , and , , , then the angle between and is20 Apr, 2026 (M)Algebra of Vectors
  2. 2If and are unit vectors perpendicular to each other, then20 Apr, 2026 (M)Scalar Triple Product
  3. 3Let , be the diagonals of the parallelogram OBDC and be another vector. Then the volume of a parallelopiped determined by vectors , , and (i20 Apr, 2026 (M)Algebra of Vectors
  4. 4The volume of the tetrahedron whose vertices are A , B , C , D is cubic units then the value of p is20 Apr, 2026 (M)Scalar Triple Product
  5. 5Let , and . If a vector satisfies the conditions and , then the value of ...20 Apr, 2026 (M)Algebra of Vectors
  6. 6Given the following expression A) B) C) D) E) Then which of the following is not correct20 Apr, 2026 (E)Product of 2 vectors
  7. 7The volume of the parallelopiped whose coterminous edges are is20 Apr, 2026 (E)Scalar Triple Product
  8. 8If are three non-coplanar vectors and are defined as , then is equal to20 Apr, 2026 (E)Vector Triple Product
  9. 9If and is unit vector then the maximum value of scalar triple product is20 Apr, 2026 (E)Scalar Triple Product
  10. 10Let , and . If is a vector such that and , Then20 Apr, 2026 (E)Algebra of Vectors
  11. 11If is a right-angled triangle in which is the longest side and the position vector of and are respectively and , then the value of is19 Apr, 2026 (M)Algebra of Vectors
  12. 12The sum of all real values of for which the vectors , , are coplanar is...19 Apr, 2026 (M)Scalar Triple Product
  13. 13The value of so that the volume of the parallelopiped formed by the vectors , and is minimum, is19 Apr, 2026 (M)Scalar Triple Product
  14. 14If , , such that each vector is perpendicular to the sum of the other two, then is equal to19 Apr, 2026 (M)Algebra of Vectors
  15. 15If , and are vertices of . Point D divides segment BC internally in the ratio . Point E divides segment AD internally in the ratio , then th19 Apr, 2026 (M)Algebra of Vectors
  16. 16Let O , A and B be the vertices of OAB. The bisector of angle O intersects side AB at point D. The value of is equal to...19 Apr, 2026 (E)Algebra of Vectors
  17. 17The maximum volume of a parallelopiped (in cubic units) with vectors , and , where , as its coterminous edges is...19 Apr, 2026 (E)Scalar Triple Product
  18. 18Two adjacent sides of a parallelogram ABCD are given by and . The side is rotated by an acute angle in the plane of the parallelogram so tha19 Apr, 2026 (E)Product of 2 vectors
  19. 19If are three vectors such that and and , then is...19 Apr, 2026 (E)Algebra of Vectors
  20. 20A vector which is orthogonal to the vector and coplanar with the vectors and is18 Apr, 2026 (M)Algebra of Vectors
  21. 21Let be three vectors of equal magnitude such that the angle between and is , and is , and is . Then the minimum value of is ...18 Apr, 2026 (M)Algebra of Vectors
  22. 22Let be three vectors such that . If the projection of along is equal to the projection of along and are perpendicular to each other, then ..18 Apr, 2026 (M)Product of 2 vectors
  23. 23If , and then depends on18 Apr, 2026 (M)Scalar Triple Product
  24. 24If and then18 Apr, 2026 (E)Product of 2 vectors
  25. 25The value of is18 Apr, 2026 (E)Product of 2 vectors
  26. 26If and , then the acute angle between and is18 Apr, 2026 (E)Vector Triple Product
  27. 27The value of for which vectors and are perpendicular is18 Apr, 2026 (E)Product of 2 vectors
  28. 28If the volume of the tetrahedron whose coterminous edges are given by the vectors , , is 11 cubic units, then the sum of the possible values18 Apr, 2026 (E)Scalar Triple Product
  29. 29The equation of the plane passing through the points having position vectors and is18 Apr, 2026 (E)Scalar Triple Product
  30. 30Two adjacent sides of a parallelogram ABCD are given by and . The side AD is rotated by an acute angle in the plane of the parallelogram so 17 Apr, 2026 (M)Product of 2 vectors
  31. 31Let be three non-zero vectors such that is a unit vector perpendicular to both and . If the angle between and is then17 Apr, 2026 (M)Scalar Triple Product
  32. 32Let , then the vectors are17 Apr, 2026 (M)Scalar Triple Product
  33. 33In , and are the vertices. Let and be position vectors of points and respectively and is the projection of on then is equal to...17 Apr, 2026 (M)Product of 2 vectors
  34. 34Let If is parallel to and is perpendicular to then17 Apr, 2026 (E)Algebra of Vectors
  35. 35If , and is the angle between and , then the value of is...17 Apr, 2026 (E)Product of 2 vectors
  36. 36The value of such that the scalar product of the vector with the unit vector parallel to the sum of the vectors and is one, is...17 Apr, 2026 (E)Algebra of Vectors
  37. 37Let and be linearly independent vectors such that and . If and , then17 Apr, 2026 (E)Algebra of Vectors
  38. 38A parallelogram is constructed on and as its adjacent sides, with . The angle between and is . Then the length of the diagonals of the paral16 Apr, 2026 (M)Algebra of Vectors
  39. 39The acute angle between the vector and the plane containing the vectors and is16 Apr, 2026 (M)Product of 2 vectors
  40. 40Let , and a vector be such that and then16 Apr, 2026 (M)Product of 2 vectors
  41. 41Let A, B, C, D be the points in the plane with position vectors , , and respectively, then ABCD is16 Apr, 2026 (M)Algebra of Vectors
  42. 42If a vector is rotated through a certain angle about the origin in the anti-clockwise direction, then the components of the new vector are .16 Apr, 2026 (M)Algebra of Vectors
  43. 43The volume of a parallelopiped with coterminous edges is 3 cubic units. The volume (in cubic units) of a tetrahedron with coterminous edges 16 Apr, 2026 (E)Scalar Triple Product
  44. 44Let and be three coplanar unit vectors. A unit vector is perpendicular to them. If and the angle between and is , then is equal to...16 Apr, 2026 (E)Product of 2 vectors
  45. 45If , and is a unit vector, then the maximum value of the scalar triple product is16 Apr, 2026 (E)Scalar Triple Product
  46. 46If , and , then16 Apr, 2026 (E)Algebra of Vectors
  47. 47The equation of a line in cartesian form passing through (0, 0, 0) and (4, 3, c) and parallel to where , is16 Apr, 2026 (E)Product of 2 vectors
  48. 48Let denote the angle between and . If and then (take )15 Apr, 2026 (M)Algebra of Vectors
  49. 49The vector whose magnitude is units and which makes angles of and with the positive y- and z-axes respectively is....15 Apr, 2026 (M)Algebra of Vectors
  50. 50If ABCDEF is a regular hexagon and , where O is the center of the hexagon, then the values of and respectively are15 Apr, 2026 (M)Algebra of Vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 473 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Vector Algebra has appeared in 17 of the 17 years of MHTCET papers covered here, with 473 questions across 107 papers - about 4 per paper it appears in.

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

Of the 473 questions analysed for this chapter, 38% are easy, 54% moderate and 8% tough. 2024 had the most, with 88 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 - 191 questions (40%)
  • Algebra of Vectors - 165 questions (35%)
  • Scalar Triple Product - 87 questions (18%)
  • Product of 2 vectors has produced the most tough questions (14).
6.Is Vector Algebra's weightage in MHTCET going up or down?

Across all 107 papers analysed, Vector Algebra has averaged about 4.4 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 4.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.