GATE MN Vector Calculus PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–8 of 8. Imported answers require independent review unless marked reviewed.

Topic practice 8 questionsPage 1 of 1

Let

and

are the unit vectors in the x and y direction, respectively. The divergence

at the point

Your answerChoose one option.

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The directional derivative of a function

at the point P (3, 4, 5) in the direction vector

is___ (rounded off to 1 decimal place)

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The magnitude of the curl of the vector

, is

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Vectors

and

represent the two adjacent sides of a triangle. The magnitude of the area of the triangle and the unit vector perpendicular to both a and b respectively, are

Your answerChoose one option.

28.93 and 0.58i − 0.76j − 0.27k

28.93 and 17.0i − 22.0j − 8.0k

14.46 and 0.58i − 0.76j − 0.27k

14.46 and 17.0i − 22.0j − 8.0k

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A velocity field in Cartesian coordinate system is expressed as

, where

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The vectors

and

act in a plane as shown below. The magnitude of the vector

Diagram for Mining Engineering question 8

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zero.

half to the area bounded by the vectors

and

equal to the area bounded by the vectors

and

twice the area bounded by the vectors

and

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A parallelepiped has edge vectors as shown below.

The volume of the parallelepiped is ________ (round off to 1 decimal place).

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The position vector of a moving particle is given by

. The acceleration of the particle in the direction of the motion is

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GATE MN Vector Calculus PYQs

How to practice Vector Calculus

Question 12

Question 56

Question 26

Question 43

Question 12

Question 8

Question 46

Question 3