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Test: Vector Analysis - Electronics and Communication Engineering (ECE) MCQ


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20 Questions MCQ Test - Test: Vector Analysis

Test: Vector Analysis for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Test: Vector Analysis questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Vector Analysis MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Vector Analysis below.
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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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