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ESE 2021 Technical Quiz 68|| Coordinate Systems & Vector Calculus

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Question 1

If the co-ordinate of a point P, which is given in cartesian co-ordinate system is P(1, 1, 4). What will be co-ordinates of the point P in cylindrical co-ordinate system.

Question 2

Given a vector Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image069.pngin spherical coordinates.The divergence Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image070.png at Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image071.pngis ___.

Question 3

Given the vector
, where denote unit vectors along x, y directions, respectively. The magnitude of curl of A is ___

Question 4

The values of a, b, c such that the vector field is a irrotational

Question 5

Image of the point P with position vector  in the line whose vector equation is

 has the position vector

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May 31ESE & GATE EC