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ESE Achiever's plan || Paper 1 || Vector Analysis

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Question 1

The line that passes the point (0, 1, 1) and (1, 0, -1) has parametric equation given by

Question 2

If C is the circle x2 + y2 = 4 Then

Question 3

equation of the tangent plane to the surface 2xz2 – 3xy – 4x = 7 at the point ( 1, -1, 2 )

Question 4

It is given that the vector function ( 2xy + z3 )i + x2j + 3xz2kis irrotational. Then find scalar potential function corresponding to it

Question 5

A vector field with a vanishing curl is called as.
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Jun 8ESE & GATE EC