Vectors
102 NDA Mathematics previous year questions (PYQs) from 19 papers, 2017 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 27 easy · 55 moderate · 20 hard.
- Most-asked subtopics: Cross Product and Triple Product (40), Dot Product and Angle (32), Magnitude, Components, Projection, and Direction Cosines (13).
- Updated 14 September 2026.
#1Position Vectors and Section
#2Position Vectors and Section
#3Position Vectors and Section
- NDA · Sep 2024 · Q54Moderate
#4Position Vectors and Section
- NDA · Apr 2025 · Q68Moderate
#5Position Vectors and Section
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#6Position Vectors and Section
- NDA · Sep 2026 · Q67Moderate
#7Magnitude, Components, Projection, and Direction Cosines
- NDA · Sep 2026 · Q68Moderate
#8Magnitude, Components, Projection, and Direction Cosines
- NDA · Sep 2018 · Q66Moderate
#9Magnitude, Components, Projection, and Direction Cosines
#10Magnitude, Components, Projection, and Direction Cosines
#11Magnitude, Components, Projection, and Direction Cosines
- NDA · Apr 2020 · Q67Moderate
#12Magnitude, Components, Projection, and Direction Cosines
#13Magnitude, Components, Projection, and Direction Cosines
- NDA · Sep 2021 · Q70Moderate
#14Magnitude, Components, Projection, and Direction Cosines
- Set · 2 questionsConsider the following for the next two (02) items that follow: Let a vector make angles , , with the positive directions of , , axes respectively.
#15Magnitude, Components, Projection, and Direction Cosines
- NDA · Apr 2023 · Q68Moderate
#16Magnitude, Components, Projection, and Direction Cosines
#17Magnitude, Components, Projection, and Direction Cosines
#18Magnitude, Components, Projection, and Direction Cosines
#19Magnitude, Components, Projection, and Direction Cosines
#20Dot Product and Angle
#21Dot Product and Angle
#22Dot Product and Angle
#23Dot Product and Angle
#24Dot Product and Angle
- NDA · Apr 2019 · Q66Moderate
#25Dot Product and Angle
#26Dot Product and Angle
#27Dot Product and Angle
#28Dot Product and Angle
- NDA · Sep 2019 · Q50Moderate
#29Dot Product and Angle
#30Dot Product and Angle
- NDA · Apr 2020 · Q68Moderate
#31Dot Product and Angle
- NDA · Apr 2021 · Q72Moderate
#32Dot Product and Angle
#33Dot Product and Angle
- NDA · Apr 2021 · Q75Moderate
#34Dot Product and Angle
- NDA · Sep 2021 · Q67Moderate
#35Dot Product and Angle
- NDA · Sep 2021 · Q68Moderate
#36Dot Product and Angle
#37Dot Product and Angle
- NDA · Sep 2022 · Q67Moderate
#38Dot Product and Angle
- NDA · Sep 2022 · Q69Moderate
#39Dot Product and Angle
- Set · 2 questionsFor the next two (02) items that follow: Let , , , , , be unit vectors.
- NDA · Apr 2026 · Q65Moderate
#40Dot Product and Angle
#41Dot Product and Angle
- Set · 2 questionsFor the next two (02) items that follow: Let , , be unit vectors. Further, is perpendicular to ; makes angle with both and ; and .
- NDA · Apr 2026 · Q69Moderate
#42Dot Product and Angle
- NDA · Apr 2026 · Q70Moderate
#43Dot Product and Angle
#44Dot Product and Angle
- NDA · Sep 2023 · Q95Moderate
#45Dot Product and Angle
- NDA · Apr 2024 · Q70Moderate
#46Dot Product and Angle
- NDA · Sep 2024 · Q52Moderate
#47Dot Product and Angle
- NDA · Sep 2024 · Q53Moderate
#48Dot Product and Angle
#49Dot Product and Angle
#50Dot Product and Angle
Showing the first 50 of 102.
See all 102 questionsMore chapters in this subject
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- Complex Numbers76
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- Differential Equations67
- Differentiation89
- Functions115
- Height & Distance26
- Indefinite Integration42
- Inverse Trigonometry36
- Limits & Continuity87
- Lines104
- Logarithms27
- Matrices & Determinants181
- Permutation & Combination80
- Probability176
- Properties of Triangle52
- Quadratic Equations67
- Sequence & Series93
- Sets & Relations75
- Statistics165
- Trigonometric Equations34
- Trigonometric Identities145