Vector Algebra – JEE Main Previous Year Questions (2014–2025)

All 28 JEE Main previous-year questions from Vector Algebra (Maths), 2014–2025, taken from 10 papers. Practise them together in one test with the official marking and answer key, then review every answer.

▶ Practise all 28 questionsAll JEE Main chapters

Vector Algebra questions by paper

Sample questions

• JEE Main 2025 22 Jan Shift 1
  ym on BA cilh oe Let bethe projection vector of bai A 0 onthe vector a Ifa 7 hen Hieron ofthe erdilown domed by the vette Eo end te
• JEE Main 2025 22 Jan Shift 2
  se end be two mit vectorsieuch that the angle betinwen thin te Waa and 30 Ab are perpendicular to each other then the number of values of in 1 3 is Options 29 29 43
• JEE Main 2025 (Apr) Maths bank
  If a is a nonzero vector such that its projections on the vectors 2 2 2 2 and are equal then a unit vector along a is
• JEE Main 2025 (Apr) Maths bank
  Let a 3 2 and be a unit vector such that a and 1 If is perpendicular to a then 3 2 is equal to

Question text shown from the scanned paper; open the test to see each question exactly as printed.

More Maths chapters

• Sets 6
• Relations and Functions 38
• Trigonometric Functions 21
• Complex Numbers and Quadratic Equations 49
• Permutations and Combinations 31
• Binomial Theorem 29
• Sequences and Series 38
• Straight Lines 27
• Conic Sections 75
• Three Dimensional Geometry 47
• Limits and Derivatives 22
• Mathematical Reasoning 6
• Statistics 13
• Probability 29
• Inverse Trigonometric Functions 15
• Matrices 15
• Determinants 29
• Continuity and Differentiability 15
• Application of Derivatives 26
• Integrals 40
• Application of Integrals 27
• Differential Equations 27