Test: Vector Analysis


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20 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Vector Analysis

Test: Vector Analysis for Railways 2022 is part of GATE Electrical Engineering (EE) 2023 Mock Test Series preparation. The Test: Vector Analysis questions and answers have been prepared according to the Railways exam syllabus.The Test: Vector Analysis MCQs are made for Railways 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Vector Analysis below.
Solutions of Test: Vector Analysis questions in English are available as part of our GATE Electrical Engineering (EE) 2023 Mock Test Series for Railways & Test: Vector Analysis solutions in Hindi for GATE Electrical Engineering (EE) 2023 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free. Attempt Test: Vector Analysis | 20 questions in 60 minutes | Mock test for Railways preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) 2023 Mock Test Series for Railways Exam | Download free PDF with solutions
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Test: Vector Analysis - Question 1

Divergence and Curl of a vector field are _________.

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Test: Vector Analysis - Question 2

The two vector are RAM = 20ux + 18uy - 10uand RAN = -10ux + 8uy + 15uz. The u of the triangle that bisects the interior angle at A is:

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The non-unit vector in the required direction is:

 

Test: Vector Analysis - Question 3

Two points in cylindrical coordinates are A(ρ = 5, Ø = 700 , z = -3) and B(ρ = 2, Ø = 300 , z = 1) A unit vector at A towards B is:

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In cartesian coordinates:

Test: Vector Analysis - Question 4

The surface ρ = 2, ρ = 4,  Ø = 1000  ,Ø = 1300 ,z = 3  and z = 4.5 define a closed surface. The enclosed volume is:

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Test: Vector Analysis - Question 5

The surface ρ = 2, ρ = 4,  Ø = 450  ,Ø = 1350 , z = 3  and z = 4 define a closed surface. The total area of the enclosing surface is:

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Area is:

Test: Vector Analysis - Question 6

The surface ρ = 3, ρ = 5,  Ø = 1000  ,Ø = 1300 , z = 3  and z = 4.5 define a closed surface. The length of the longest straight line that lies entirely within the volume is:

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Test: Vector Analysis - Question 7

A vector field H is:

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Test: Vector Analysis - Question 8

A vector is A = yux +(x+z)uy  .At point P(-2, 6, 3)  A in cylindrical coordinate is:

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Test: Vector Analysis - Question 9

The directional derivative of function φ = xy + yz + zx at point P(3, -3, -3) in the directiontoward point Q(4, -1, -1) is:

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Test: Vector Analysis - Question 10

The temperature in a auditorium is given by T = 2x2 +y2 - 2z2 . A mosquito located at (2, 2, 1) in the auditorium desires to fly in such a direction that it will get warm as soon as possible. The direction, in that it must fly is:

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Test: Vector Analysis - Question 11

The angle between the normal to the surface x2y + z = 3 and x ln z - y2 = -4 at the point of intersection (-1, 2, 1) is:

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Test: Vector Analysis - Question 12

The divergence of vector A = yzux + 4xyuy + yuz at point P(1, -2, 3) is:

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Test: Vector Analysis - Question 13

The divergence of the vector    at point P(1, 300 , 600 ) is:

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Test: Vector Analysis - Question 14

Which of the quantities is nearest to the value of

Test: Vector Analysis - Question 15

The flux of    over the closed surface of the cylinder 0 ≤ z ≤ 3 , ρ = 3 is:

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By divergence theorem

Test: Vector Analysis - Question 16

The curl of vector  is:

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Test: Vector Analysis - Question 17

The curl of vector field 

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Test: Vector Analysis - Question 18

The curl of vector field

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Test: Vector Analysis - Question 19

  the value    is: 

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Test: Vector Analysis - Question 20

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