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# Test: Vector Analysis

## 20 Questions MCQ Test RRB JE for Electrical Engineering | Test: Vector Analysis

Description
This mock test of Test: Vector Analysis for Railways helps you for every Railways entrance exam. This contains 20 Multiple Choice Questions for Railways Test: Vector Analysis (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Vector Analysis quiz give you a good mix of easy questions and tough questions. Railways students definitely take this Test: Vector Analysis exercise for a better result in the exam. You can find other Test: Vector Analysis extra questions, long questions & short questions for Railways on EduRev as well by searching above.
QUESTION: 1

Solution:

QUESTION: 2

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

Solution:

The non-unit vector in the required direction is:

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:

Solution:

In cartesian coordinates:

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:

Solution:

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:

Solution:

Area is:

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:

Solution:

QUESTION: 7

A vector field H is:

Solution:

QUESTION: 8

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

Solution:

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:

Solution:

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:

Solution:

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:

Solution:

QUESTION: 12

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

Solution:

QUESTION: 13

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

Solution:

QUESTION: 14

Which of the quantities is nearest to the value of

Solution:
QUESTION: 15

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

Solution:

By divergence theorem

QUESTION: 16

The curl of vector  is:

Solution:

QUESTION: 17

The curl of vector field

Solution:

QUESTION: 18

The curl of vector field

Solution:

QUESTION: 19

the value    is:

Solution:

QUESTION: 20

Solution: