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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
is the position vector of a point inside S, with the unit normal on S, the value of the integral isQuestion 4
The surface integral 
evaluated over the surface of the sphere 
, where 
and 
is the outward unit normal vector is:
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_____
, So the value of is_____Question 6Multiple Correct Options
If 
, evaluate 
along the curve 
between A(2, -3, -1) and B(2, 3, 1)?
, evaluate along the curve between A(2, -3, -1) and B(2, 3, 1)?
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Oct 6ESE & GATE EC
