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Vector Integrals and Theorems - Part 2 Starter Quiz
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Question 1
If
,
![](https://gradeup-question-images.grdp.co/liveData/PROJ48124/1587717450567467.png)
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
![](https://gs-question-images.grdp.co/1458114747582531.png)
![](https://gs-question-images.grdp.co/1458114748264810.png)
![](https://gs-question-images.grdp.co/1458114748941238.png)
Question 4
The surface integral
evaluated over the surface of the sphere
, where
and
is the outward unit normal vector is:
![](https://gradeup-question-images.grdp.co/liveData/PROJ36688/1567601647182135.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ36688/1567601647883528.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ36688/1567601648612876.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ36688/1567601649325942.png)
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_____
![](https://gradeup-question-images.grdp.co/liveData/PROJ47983/1587545348152681.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ47983/1587545348911388.png)
Question 6Multiple Correct Options
If
, evaluate
along the curve
between A(2, -3, -1) and B(2, 3, 1)?
![](https://gradeup-question-images.grdp.co/liveData/PROJ60188/1599813881734724.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ60188/1599813882485456.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ60188/1599813883275577.png)
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Oct 6ESE & GATE EC