Vector Algebra — NDA Previous Year Questions

53 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 53
Years covered: 2021–2025
Avg / year: ~11
Subject: Mathematics

How many NDA questions come from Vector Algebra?

Vector Algebra has contributed 53 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 11 questions a year. That count is measured from EByAi’s bank of 15,695 NDA questions, not estimated from a syllabus. Every one of the 53 questions carries a written, step-by-step solution, and each is tagged to Vector Algebra within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Vector Algebra questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 53 Vector Algebra questions (with full written solutions) are available in practice.

Question 1 · NDA 2025
Consider the following statements with respect to a vector d = (a × b) × c:

I. d is coplanar with a and b.

II. d is perpendicular to c.

Which of the statements given above is/are correct?
1. (A) $I only$
2. (B) $II only$
3. (C) $Both I and II$
4. (D) $Neither I nor II$
Show answerAnswer
$Answer: (C) Both I and II$
Question 2 · NDA 2024
What is 3α + 2β equal to if (2î + 6ĵ + 27k̂) × (î + αĵ + βk̂) is a null vector?
1. (A) $36$
2. (B) $33$
3. (C) $30$
4. (D) $27$
Show answerAnswer
$Answer: (A) 36$
Question 3 · NDA 2024
Consider the following in respect of moment of a force:
1. The moment of force about a point is independent of point of application of force.
1. The moment of a force about a line is a vector quantity.
Which of the statements given above is/are correct?
1. (A) $1 only$
2. (B) $2 only$
3. (C) $Both 1 and 2$
4. (D) $Neither 1 nor 2$
Show answerAnswer
$Answer: (B) 2 only$
Question 4 · NDA 2023
Consider the following points :
1. (-1, -3, 1)
1. (-1, 3, 2)
1. (-2, 5, 3)
Which of the above points lie on the line joining A and B ?
1. (A) $1 and 2 only$
2. (B) $2 and 3 only$
3. (C) $1 and 3 only$
4. (D) $1, 2 and 3$
Show answerAnswer
$Answer: (B) 2 and 3 only$
Question 5 · NDA 2022
Consider the following statements :
1. Dot product over vector addition is distributive
1. Cross product over vector addition is distributive
1. Cross product of vectors is associative
Which of the above statements is/are correct?
1. (A) $1 only$
2. (B) $2 only$
3. (C) $1 and 2 only$
4. (D) $1, 2 and 3$
Show answerAnswer
$Answer: (C) 1 and 2 only$

Vector Algebra questions by year

Year	Questions	Share of chapter questions
2025	10
2024	11
2023	11
2022	10
2021	11

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FAQs

How many NDA questions have been asked from Vector Algebra?

EByAi's bank holds 53 real NDA questions from Vector Algebra, asked between 2021 and 2025 — about 11 per year on average. Every count is measured from actual papers, not estimated.

Is Vector Algebra important for NDA?

53 questions over 5 papers make Vector Algebra a steady-weightage chapter in NDA Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Vector Algebra PYQs online for free?

Yes. EByAi lets you solve NDA past-year questions in the browser with written solutions — free daily practice, no card needed.

More NDA Mathematics chapters

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