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Previous year question hub

Vector Analysis - Engineering Mathematics - Electronics & Communication Engineering Previous Year Questions

Practice Vector Analysis - Engineering Mathematics - Electronics & Communication Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

21Papers
15Years
30Questions
1Topics

Vector Analysis question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 20 66.7%
Medium 10 33.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 22 73.3%
Numerical Answer Type (NAT) 5 16.7%
Fill in the blanks 2 6.7%
MSQ 1 3.3%

Subject weightage

Top subjects by unique question coverage.

Electronics & Communication Engineering
30 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
30 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Vector Analysis
30 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Electronics and Communication Engineering (EC) 2026
1 Qs
Electronics & Communication Engineering (EC) 2024
1 Qs
Electronics & Communication Engineering (EC) 2023
2 Qs
Electronics & Communication Engineering (EC) 2022
1 Qs
Electronics & Communication Engineering (EC) 2021
2 Qs
Electronics & Communication Engineering (EC) 2020
1 Qs
Electronics & Communication Engineering (EC) 2019
1 Qs
Electronics & Communication Engineering (EC) 2017
3 Qs
Electronics & Communication Engineering (EC) 2017 [Session 2]
2 Qs
Electronics & Communication Engineering (EC) 2017 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2016 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2016 [Session 2]
1 Qs
Electronics & Communication Engineering (EC) 2014 [Session 4]
2 Qs
Electronics & Communication Engineering (EC) 2013 [Session 2]
2 Qs
Electronics & Communication Engineering (EC) 2013 [Session 3]
2 Qs
Electronics & Communication Engineering (EC) 2013 [Session 4]
2 Qs
Electronics & Communication Engineering (EC) 2013 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2012
1 Qs
Electronics & Communication Engineering (EC) 2011
1 Qs
Electronics & Communication Engineering (EC) 2010
1 Qs
Electronics & Communication Engineering (EC) 2008
1 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Electronics and Communication Engineering (EC) 20262026
1 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20242024
1 questions in this view		2024
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20232023
2 questions in this view		2023
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20222022
1 questions in this view		2022
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20212021
2 questions in this view		2021
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20202020
1 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20192019
1 questions in this view		2019
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20172017
3 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Electronics & Communication Engineering (EC) 2017 [Session 1]2017
1 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2017 [Session 2]2017
2 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 1]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 2]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 4]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 1]2013
1 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 2]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 3]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 4]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20122012
1 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20112011
1 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20102010
1 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20082008
1 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Vector Analysis previous year questions

Practice every matching question in batches of 20, with every available option.

1
2008 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2008
Consider points P and Q in the x-y plane, with P=(1,0) and Q=(0,1). The line integral \[2\int_{P}^{Q}(xdx+ydy)\] along the semicircle with the line segment PQ as its diameter

Question diagram

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2
2010 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2010
If \(\vec{A} = xy \hat{a}_x + x^2 \hat{a}_y\), then \(\oint_C \vec{A} \cdot d\vec{l}\) over the path shown in the figure is

Question diagram

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3
2011 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2011
Consider a closed surface \(S\) surrounding a volume \(V\). If \(\vec{r}\) is the position vector of a point inside \(S\), with \(\hat{n}\) the unit normal on \(S\), the value of the integral \(\iint_S 5\vec{r} \cdot \hat{n} dS\) is
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4
2012 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2012
The direction of vector A is radially outward from the origin, with \( |\mathbf{A}| = k r^n \) where \( r^2 = x^2 + y^2 + z^2 \) and k is a constant. The value of n for which \( \nabla \cdot \mathbf{A} = 0 \) is
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5
2013 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2013 [Session 1]
Consider a vector field \(\vec{A}(\vec{r})\). The closed loop line integral \(\oint \vec{A} \bullet d\vec{l}\) can be expressed as
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6
2013 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2013 [Session 2]
Consider a vector field \(\vec{A}(\vec{r})\). The closed loop line integral \(\oint \vec{A}\cdot d\vec{l}\) can be expressed as
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7
2013 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2013 [Session 2]
The divergence of the vector field $\vec{A} = x\hat{a}_x + y\hat{a}_y + z\hat{a}_z$ is
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8
2013 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2013 [Session 3]
The divergence of the vector field \( \vec{A} = x \hat{a}_x + y \hat{a}_y + z \hat{a}_z \) is
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9
2013 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2013 [Session 3]
Consider a vector field \( \vec{A}(\vec{r}) \). The closed loop line integral \( \oint \vec{A} \cdot d\vec{l} \) can be expressed as
Open complete paper
10
2013 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2013 [Session 4]
The divergence of the vector field \(\vec{A} = x \hat{a}_x + y \hat{a}_y + z \hat{a}_z\) is
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11
2013 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2013 [Session 4]
Consider a vector field \(\vec{A}(\vec{r})\). The closed loop line integral \(\oint \vec{A} \cdot d\vec{l}\) can be expressed as
Open complete paper
12
2014 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2014 [Session 4]
Given F⃗ = zâx + xây + yâz. If S represents the portion of the sphere x2 + y2 + z2 = 1 for z ≥ 0, then ∫S ∇ × F⃗ · dS⃗ is __________
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13
2014 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2014 [Session 4]
The magnitude of the gradient for the function \(f(x,y,z) = x^2 + 3y^2 + z^3\) at the point (1,1,1) is ________.
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14
2016 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2016 [Session 1]
M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels 5 km South and then 4 km South-East. What is the shortest distance (in km) between M and N at the end of their travel?
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15
2016 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2016 [Session 2]
Suppose C is the closed curve defined as the circle \( x^2 + y^2 = 1 \) with C oriented anti-clockwise. The value of \( \oint_C (xy^2 dx + x^2 y dy) \) over the curve C equals ______
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16
2017 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2017

The smaller angle (in degrees) between the planes x + y + z = 1 and 2x - y + 2z = 0 is _______.

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17
2017 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2017

If the vector function F̅ = a̅x(3y − k1z) + a̅γ(k2x − 2z) − a̅z(k3y + z) is irrotational, then the values of the constants k1, k2 and k3, respectively, are

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18
2017 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2017
Correct : 1 Wrong : -0.33

Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is she from point P, and in which direction should she go to reach point P?

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19
2019 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2019
Consider the line integral
\[ \int_C (x \, dy - y \, dx) \]
the integral being taken in a counterclockwise direction over the closed curve \( C \) that forms the boundary of the region \( R \) shown in the figure below. The region \( R \) is the area enclosed by the union of a \( 2 \times 3 \) rectangle and a semi-circle of radius 1. The line integral evaluates to
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20
2020 · Electronics & Communication Engineering · Engineering Mathematics · Vector Analysis
Electronics & Communication Engineering (EC) 2020
For a vector field \(\vec{A}\), which one of the following is FALSE?
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