Test: Cartesian Coordinate System - Electrical Engineering (EE) MCQ

# Test: Cartesian Coordinate System - Electrical Engineering (EE) MCQ

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## 10 Questions MCQ Test GATE Electrical Engineering (EE) 2024 Mock Test Series - Test: Cartesian Coordinate System

Test: Cartesian Coordinate System for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) 2024 Mock Test Series preparation. The Test: Cartesian Coordinate System questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Cartesian Coordinate System MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Cartesian Coordinate System below.
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Test: Cartesian Coordinate System - Question 1

### The Cartesian system is also called as

Detailed Solution for Test: Cartesian Coordinate System - Question 1

The other name for Cartesian is rectangular system, which is given by (x,y,z).

Test: Cartesian Coordinate System - Question 2

### A charge is placed in a square container. The position of the charge with respect to the origin can be found by

Detailed Solution for Test: Cartesian Coordinate System - Question 2

Since the container possesses dimensions of a square (length, breadth and height), it can be found by Cartesian system.

Test: Cartesian Coordinate System - Question 3

### The angular separation between the vectors A = 4i + 3j + 5k and B = i – 2j + 2k is (in degrees)

Detailed Solution for Test: Cartesian Coordinate System - Question 3

The dot product the vector is 8. Angle of separation is cos θ = 8/ (7.07 X 3) = 0.377 and θ = cos-1(0.377) = 67.8.

Test: Cartesian Coordinate System - Question 4

Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates

Detailed Solution for Test: Cartesian Coordinate System - Question 4

Convert the Cartesian form to cylindrical form by formula and substitute the points to get -3.6j – 4k.

Test: Cartesian Coordinate System - Question 5

Which of the following criteria is used to choose a coordinate system?

Detailed Solution for Test: Cartesian Coordinate System - Question 5

The coordinate system is chosen based on the geometry of the given problem. From a point charge +Q, the electric field spreads in all 360 degrees. The calculation of electric field in this case will be spherical system.

Test: Cartesian Coordinate System - Question 6

Vector transformation followed by coordinate point substitution and vice-versa, both given the same result. Choose the best answer.

Detailed Solution for Test: Cartesian Coordinate System - Question 6

The order of vector transformation and point substitution will not affect the result, only when the vector is a constant.

Test: Cartesian Coordinate System - Question 7

The spherical equivalent of the vector B = yi + (x + z)j located at (-2,6,3) is given by

Detailed Solution for Test: Cartesian Coordinate System - Question 7

Substitute the points in the vector and convert the Cartesian to cylindrical form to get radius as 7, plane angle1 as 64.62 and plane angle2 as -71.57.

Test: Cartesian Coordinate System - Question 8

The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates.

Detailed Solution for Test: Cartesian Coordinate System - Question 8

All the coordinate systems are inter-convertible and all the vector operations are applicable to it.

Test: Cartesian Coordinate System - Question 9

The scalar factor of Cartesian system is unity.

Detailed Solution for Test: Cartesian Coordinate System - Question 9

The range of Cartesian system is one to infinity. Thus the minimum scalar value of the system is unity.

Test: Cartesian Coordinate System - Question 10

The volume of a parallelepiped in Cartesian is

Detailed Solution for Test: Cartesian Coordinate System - Question 10

The volume of a parallelepiped is given by product of differential length, breadth and height.

## GATE Electrical Engineering (EE) 2024 Mock Test Series

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## GATE Electrical Engineering (EE) 2024 Mock Test Series

23 docs|263 tests