Vector Calculus - 7


20 Questions MCQ Test Topic-wise Tests & Solved Examples for IIT JAM Mathematics | Vector Calculus - 7


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This mock test of Vector Calculus - 7 for Mathematics helps you for every Mathematics entrance exam. This contains 20 Multiple Choice Questions for Mathematics Vector Calculus - 7 (mcq) to study with solutions a complete question bank. The solved questions answers in this Vector Calculus - 7 quiz give you a good mix of easy questions and tough questions. Mathematics students definitely take this Vector Calculus - 7 exercise for a better result in the exam. You can find other Vector Calculus - 7 extra questions, long questions & short questions for Mathematics on EduRev as well by searching above.
QUESTION: 1

A vector   is said to be irrotational vector, if

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QUESTION: 2

The plane containing principal, normal and binormal is called

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QUESTION: 3

 Maximum value of directional derivative of f= x2yz at the point (1, 4,1) is

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QUESTION: 4

 If V is the volume enclosed by surface S and  =  then is

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QUESTION: 5

 The minimum value of the directional derivative is  which occurs when θ is

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QUESTION: 6

  where P is a vector, is equal to

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QUESTION: 7

if and  be the set of orthonormal unit vectors, then  is

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QUESTION: 8

Stoke’s theorem is

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QUESTION: 9

The relation between the line integral and the surface integral is

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QUESTION: 10

The divergence of the vector field

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QUESTION: 11

If Φ(x, y, z) = 3x2y - y3z then the value of grad Φ at the point (1,- 2 ,- 1 ) is

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QUESTION: 12

If Φ is a differentiable scalar point function, then the value of curl grad Φ is

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QUESTION: 13

If  then  is

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QUESTION: 14

A particle moves along the curve Acceleration of the particle in the direction of the motion is

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QUESTION: 15

If C is the curve  x2 + y2 = 1, z = y2  then by stoke’s theorem  (yz dx + zx dy + xy dz) is

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QUESTION: 16

Gauss’s divergence theorem can be written a

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QUESTION: 17

If = and r2 = x2 + y2 + z2,  then-the value of grad   will be

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QUESTION: 18

Let  be a vector field.
Q. The value of div  is

Solution:

 Given that

Therefore, 

QUESTION: 19

Let  be a vector field.
Q. The value of curl  is

Solution:

 Given that


QUESTION: 20

Let  and 
Q. The value of  is

Solution:

Given that

and 
Therefore, 

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