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Vector Integrals and Theorems - Part 2 Starter Quiz

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Question 1

If ,

Find along the straight line joining (0, 0, 0) & (1, 1, 1). (Correct upto 2 decimal place)……….

Question 2

The work done in moving a partical in the force field F = 3x2i + (2xz – y)j + zk. If the work defined by x2 =4y, 3x2 = 8z from x = 0 to , x = 2 is

Question 3

Consider a closed surface S surrounding a Volume V. If is the position vector of a point inside S, with the unit normal on S, the value of the integral is

Question 4

The surface integral evaluated over the surface of the sphere , where and is the outward unit normal vector is:

Question 5

If S is the surface of the box with –1 x ≤ 2, 0 ≤ y ≤ 1 and 1 ≤ z ≤ 4, and Vector function is , So the value of is_____

Question 6Multiple Correct Options

If , evaluate along the curve  between A(2, -3, -1) and B(2, 3, 1)?
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Oct 6ESE & GATE EC