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Mathematics - Vector Algebra

Practise 429 AP EAMCET previous year questions on Vector Algebra, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty AP EAMCET tests.

Vector Algebra has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 429 questions in all. 51% of them were easy, 41% moderate and 8% tough. Most of its questions came from 2021, with 62 questions that year. In the last three years (2022–2024) it had 116 questions across 28 papers, about 4.1 per paper.

The chapter's 6 topics are not weighted equally: Algebra of Vectors (178 questions, 41%), Product of 2 vectors (160 questions, 37%), and Scalar Triple Product (44 questions, 10%) have been asked the most. Algebra of Vectors has also led over the last five years, with 96 questions. Product of 2 vectors has produced the most tough questions (14).

  1. 1is the circumcentre of . If the position vectors of and are respectively, then the position vector of the orthocentre of this triangle is27 May, 2025 (M)Algebra of Vectors
  2. 2If the position vectors of are and respectively, then the quadrilateral ABCD is a27 May, 2025 (M)Algebra of Vectors
  3. 3The set of all real values of c so that the angle between the vectors and is an obtuse angle for all real is27 May, 2025 (M)Product of 2 vectors
  4. 4Let and be three vectors. If is a vector such that and , then the magnitude of the orthogonal projection of on is27 May, 2025 (M)Vector Algebra
  5. 5If are non coplanar vectors and are real numbers, then the equality holds for27 May, 2025 (M)Scalar Triple Product
  6. 6Let and be the position vectors of four points and D respectively. If a point P divides AB in the ratio internally and a point divides in th26 May, 2025 (M)Algebra of Vectors
  7. 7If are two vectors such that , then the unit vector in the direction of is26 May, 2025 (M)Vector Algebra
  8. 8If are three unit vectors such that and are the angles between and respectively, then26 May, 2025 (M)Vector Triple Product
  9. 9Let and be two vectors. If , then represents26 May, 2025 (E)Vector Algebra
  10. 10and are the position vectors of three non-collinear points on a plane. If and , then represents26 May, 2025 (E)Scalar Triple Product
  11. 11If and , then26 May, 2025 (E)Vector Algebra
  12. 12are three vectors. If is a vector such that and , then26 May, 2025 (E)Vector Algebra
  13. 13If the position vectors of the vertices of a triangle are , respectively, then the magnitude of the altitude drawn from on to the side is24 May, 2025 (M)Vector Algebra
  14. 14If the vectors and are coplanar, then the unit vector in the direction of the vector is24 May, 2025 (M)Algebra of Vectors
  15. 15Let and be two perpendicular vectors in the XOY-plane. A vector in the same plane and having projections 1 and 2 respectively on and is24 May, 2025 (M)Product of 2 vectors
  16. 16If the vectors and form a right angled triangle for a positive value of , then the length of its hypotenuse is23 May, 2025 (M)Vector Algebra
  17. 17A unit vector that is perpendicular to the vector and coplanar with the vectors and is23 May, 2025 (M)Vector Algebra
  18. 18If the vectors are coplanar, then23 May, 2025 (M)Algebra of Vectors
  19. 19If the magnitudes of and are respectively 3,4 and 5, then the magnitude of is23 May, 2025 (M)Product of 2 vectors
  20. 20If and are two vectors, then the vector of magnitude 28 units in the direction of the vector is23 May, 2025 (E)Algebra of Vectors
  21. 21If is a unit vector, then23 May, 2025 (E)Vector Algebra
  22. 22If and are four vectors then23 May, 2025 (E)Vector Algebra
  23. 23are the position vectors of three non collinear points respectively. If the perpendicular drawn from onto meets at the point , then23 May, 2025 (E)Vector Algebra
  24. 24Points and are given by and . A line along the vector passes through the point and another line along the vector passes through the point . 22 May, 2025 (M)Line in Space
  25. 25Angle between a diagonal of a cube and a diagonal of its face which are coterminus is22 May, 2025 (M)Product of 2 vectors
  26. 26For , if the vectors and are coplanar and , then the value of is22 May, 2025 (M)Vector Algebra
  27. 27If and are three vectors such that then22 May, 2025 (M)Vector Triple Product
  28. 28If and , then22 May, 2025 (M)Product of 2 vectors
  29. 29If the vector is along the internal bisector of the angle between the vectors and and the unit vector along is then22 May, 2025 (E)Algebra of Vectors
  30. 30If and , then22 May, 2025 (E)Vector Algebra
  31. 31Let and be two vectors. If is a vector such that and the angle between and is , then22 May, 2025 (E)Vector Algebra
  32. 32Preview not available - open to view this question.22 May, 2025 (E)Product of 2 vectors
  33. 33Let be the position vectors of three points A, respectively. If and , then21 May, 2025 (M)Algebra of Vectors
  34. 34are position vectors of the points and respectively, and are points on the line AB such that and are two pairs of like vectors. If and , the21 May, 2025 (M)Algebra of Vectors
  35. 35If are three unit vectors such that , then21 May, 2025 (M)Product of 2 vectors
  36. 36If are three vectors such that , then21 May, 2025 (M)Vector Algebra
  37. 37If and are four vectors, then21 May, 2025 (M)Vector Algebra
  38. 38Let the position vectors of the vertices of a triangle be . If on the plane of the triangle, is a point having position vector such that and21 May, 2025 (E)Algebra of Vectors
  39. 39are three vectors such that . If then21 May, 2025 (E)Vector Algebra
  40. 40If the points with position vectors , respectively form a tetrahedron, then the angle between the faces ABC and ABD of the tetrahedron is21 May, 2025 (E)Vector Algebra
  41. 41are unit vectors. If are perpendicular vectors, and are scalars), then21 May, 2025 (E)Product of 2 vectors
  42. 42If the angles between the sides of the triangle ABC formed by , and are and , then21 May, 2025 (E)Algebra of Vectors
  43. 43If the vectors are coplanar then23 May, 2024 (M)Algebra of Vectors
  44. 44If are the vectors along two sides of a triangle ABC , then perimeter of triangle ABC is:23 May, 2024 (M)Product of 2 vectors
  45. 45The orthogonal projection vector of on is23 May, 2024 (M)Product of 2 vectors
  46. 46If are two vectors then angle between the vectors and is23 May, 2024 (M)Product of 2 vectors
  47. 47A unit vector perpendicular to the vectors and is23 May, 2024 (M)Product of 2 vectors
  48. 48The length of the internal bisector of angle in with vertices and is23 May, 2024 (M)Algebra of Vectors
  49. 49Let . The projection of the sum of the vectors on the vector perpendicular to the plane of is22 May, 2024 (M)Product of 2 vectors
  50. 50In and are the position vectors of the vertices and R respectively. Then the position vector of the point of intersection of the angle bisec22 May, 2024 (M)Algebra of Vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 429 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP EAMCET 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 AP EAMCET Mathematics?

Vector Algebra has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 429 questions across 93 papers - about 5 per paper it appears in.

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

Of the 429 questions analysed for this chapter, 51% are easy, 41% moderate and 8% tough. 2021 had the most, with 62 questions.

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

These topics have carried the most weightage in Vector Algebra:

  • Algebra of Vectors - 178 questions (41%)
  • Product of 2 vectors - 160 questions (37%)
  • Scalar Triple Product - 44 questions (10%)
  • Product of 2 vectors has produced the most tough questions (14).
6.Is Vector Algebra's weightage in AP EAMCET going up or down?

Across all 93 papers analysed, Vector Algebra has averaged about 4.6 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 4.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.