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Mathematics - Vector Algebra

Practise 264 TS 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 TS EAMCET tests.

Vector Algebra has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 264 questions in all. 52% of them were easy, 39% moderate and 9% tough. Most of its questions came from 2020, with 29 questions that year. In the last three years (2022–2024) it had 68 questions across 17 papers, about 4 per paper.

The chapter's 5 topics are not weighted equally: Product of 2 vectors (101 questions, 38%), Algebra of Vectors (100 questions, 38%), and Scalar Triple Product (37 questions, 14%) have been asked the most. Product of 2 vectors has also led over the last five years, with 47 questions. Product of 2 vectors has produced the most tough questions (10).

  1. 1If are three vectors then04 May, 2025 (M)Vector Algebra
  2. 2Let and be two vectors such that and . If is a vector parallel to then the angle between and is04 May, 2025 (M)Product of 2 vectors
  3. 3If and are two vectors such that and then04 May, 2025 (M)Vector Algebra
  4. 4If the volume of a tetrahedron having and as its coterminous edges is 2, then the values of are the roots of the equation04 May, 2025 (M)Product of 2 vectors
  5. 5Two adjacent sides of a triangle are represented by the vectors and . Then the least angle of the triangle and perimeter of the triangle are04 May, 2025 (E)Product of 2 vectors
  6. 6In a quadrilateral and AC is the bisector of angle . If , then angle between and is04 May, 2025 (E)Algebra of Vectors
  7. 7are three non-coplanar and mutually perpendicular vectors of same magnitude is any vector satisfying , then04 May, 2025 (E)Vector Triple Product
  8. 8If and are two vectors such that , then03 May, 2025 (M)Algebra of Vectors
  9. 9are the position vectors of the points respectively. If is the position vector of the point of intersection of the diagonals of the quadrila03 May, 2025 (M)Algebra of Vectors
  10. 10If and are two vectors then the component of perpendicular to is03 May, 2025 (M)Vector Algebra
  11. 11Let and be two vectors. If , then03 May, 2025 (M)Product of 2 vectors
  12. 12Two ships leave a port at the same time. One of them moves in the direction of with a speed of 8 kmph and the other moves in the direction o03 May, 2025 (E)Vector Algebra
  13. 13In a triangle ABC, if and , then the perimeter of the triangle is03 May, 2025 (E)Algebra of Vectors
  14. 14are the position vectors of the points respectively. is the position vector of the centroid of the triangular face BCD of the tetrahedron AB03 May, 2025 (E)Scalar Triple Product
  15. 15If and are two vectors, then03 May, 2025 (E)Product of 2 vectors
  16. 16Let and be three vectors. If is a vector such that and then03 May, 2025 (E)Vector Algebra
  17. 17Let be three vectors. If is a vector perpendicular to both and , then03 May, 2025 (E)Vector Algebra
  18. 18The position vectors of two points A and B are and respectively. The point P with position vector is on the line AB. If the point Q is the h02 May, 2025 (M)Algebra of Vectors
  19. 19If and are two vectors such that and then02 May, 2025 (M)Algebra of Vectors
  20. 20If and are two vectors then02 May, 2025 (M)Vector Algebra
  21. 21are any four points. If E and F are mid points of AC and BD respectively, then02 May, 2025 (E)Algebra of Vectors
  22. 22The four points whose position vectors are given by , and are02 May, 2025 (E)Algebra of Vectors
  23. 23are three unit vectors such that . If and form a right-handed system, then02 May, 2025 (E)Product of 2 vectors
  24. 24and are the position vectors of two points and respectively and divides in the ratio . If is the position vector of a point , then the unit 11 May, 2024 (M)Algebra of Vectors
  25. 25and are three vectors. If is a normal to the plane of and and , then11 May, 2024 (M)Product of 2 vectors
  26. 26If and are two vectors, then the magnitude of the components of parallel to is10 May, 2024 (M)Product of 2 vectors
  27. 27are three vectors and is a unit vector perpendicular to . If are coplanar vectors, then10 May, 2024 (M)Product of 2 vectors
  28. 28are three vectors each having magnitude such that . If and , then10 May, 2024 (E)Product of 2 vectors
  29. 29is a vector perpendicular to the plane containing non zero vectors and . If are such that , then10 May, 2024 (E)Vector Triple Product
  30. 30If and is a vector such that and , then10 May, 2024 (E)Product of 2 vectors
  31. 31are the position vectors of the vertices of a triangle respectively. If and are the mid points of and respectively, then the unit vector alo09 May, 2024 (M)Algebra of Vectors
  32. 32A vector of magnitude units along the internal bisector of the angle between the vectors and is09 May, 2024 (M)Product of 2 vectors
  33. 33If is the angle between the vectors and then09 May, 2024 (M)Product of 2 vectors
  34. 34a. are 3 vectors such that and is perpendicular to the plane of and If the angle between the vectors and is then09 May, 2024 (M)Product of 2 vectors
  35. 35are non-coplanar vectors. If the three points are collinear, then09 May, 2024 (E)Algebra of Vectors
  36. 36If are the position vectors of the points respectively, then the point of intersection of the line and the plane passing through is09 May, 2024 (E)Algebra of Vectors
  37. 37If are two vectors such that and , then09 May, 2024 (E)Product of 2 vectors
  38. 38is a vector perpendicular to the piane determined by the vectors and . If the magnitude of the projection of on the vector is 1 , then09 May, 2024 (E)Product of 2 vectors
  39. 39are two vectors and is a vector such that . If is a unit vector, then09 May, 2024 (E)Vector Triple Product
  40. 40If and is the angle between the vectors and , then14 May, 2023 (M)Product of 2 vectors
  41. 41If and are points in a plane, then the vector equation of the line passing through the centroids of and is14 May, 2023 (M)Algebra of Vectors
  42. 42If , then the angle between and is14 May, 2023 (M)Product of 2 vectors
  43. 43If and are the position vectors of four coplanar points, then14 May, 2023 (M)Algebra of Vectors
  44. 44Let and be two vectors. If the orthogonal projection vector of on is and orthogonal projection vector of on is then14 May, 2023 (M)Product of 2 vectors
  45. 45If are unit vectors such that is perpendicular to both and angle between is , then14 May, 2023 (E)Product of 2 vectors
  46. 46Let be the position vector of a point . Let and be two vectors and be a vector passing through the point and parallel to the vector . If the14 May, 2023 (E)Product of 2 vectors
  47. 47If is the circumcentre, is the orthocentre and is the centroid of a triangle , then match the items of the List -I with those of the items o14 May, 2023 (E)Product of 2 vectors
  48. 48Let be three vectors such that and then14 May, 2023 (E)Product of 2 vectors
  49. 49Let be a vector coplanar with the unit vectors and let be the unit vector perpendicular to and . If and the angle between and is , then14 May, 2023 (E)Algebra of Vectors
  50. 50Let and be the position vectors of three points and . Let be the point which divides in the ratio . If are the direction cosines of the vect13 May, 2023 (M)Algebra of Vectors

Frequently Asked Questions

1.How many questions are available for Vector Algebra?

This chapter includes 264 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS 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 TS EAMCET Mathematics?

Vector Algebra has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 264 questions across 64 papers - about 4 per paper it appears in.

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

Of the 264 questions analysed for this chapter, 52% are easy, 39% moderate and 9% tough. 2020 had the most, with 29 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 - 101 questions (38%)
  • Algebra of Vectors - 100 questions (38%)
  • Scalar Triple Product - 37 questions (14%)
  • Product of 2 vectors has produced the most tough questions (10).
6.Is Vector Algebra's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Vector Algebra has averaged about 4.1 questions per paper. In the last three years (2022–2024), 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.