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Vector Calculus MCQ Level - 1 - Question 1

The angle between the x^{2} + y^{2} + z^{2} = 9 and z = x^{2} + y^{2} – 3 at the point (2, –1, 2) is :

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Vector Calculus MCQ Level - 1 - Question 2

For where ** C** is the square in xy

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Vector Calculus MCQ Level - 1 - Question 3

If and C is the curve y = x^{3} from the point (1, 1) to (2, 8), then will be :

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Vector Calculus MCQ Level - 1 - Question 4

The value of where and S in the surface of the plane 2x + y + 2z = 6 in the first octant will be

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Vector Calculus MCQ Level - 1 - Question 5

A vector field which has a vanishing divergence is called as ____________

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Vector Calculus MCQ Level - 1 - Question 6

The value of the line integral where, ** C** is the boundary of the region lying between the squares with vertices (1, 1), (–1, 1), (–1, –1) and (1, –1) and (2, 2), (–2, 2), (–2, –2) and (2, -2) will be :

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Vector Calculus MCQ Level - 1 - Question 7

The value of where, and *S* is the surface of the parallelepiped bounded by *x* = 0, *y* = 0, *z* = 0, *x* = 2, *y* = 1, *z* = 3 will be :

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Vector Calculus MCQ Level - 1 - Question 10

The value of where *C* is the intersection of *z* = *x* + 4 with *x*^{2} + *y*^{2} = 4 will be :

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