1

GATE IN 2015

MCQ (Single Correct Answer)

+1

-0.3

The magnitude of the directional derivative of the function $$f\left( {x,y} \right) = {x^2} + 3{y^2}$$ in a direction normal to the circle $$\,{x^2} + {y^2} = 2,$$ at the point $$(1,1),$$ is

2

GATE IN 2014

Numerical

+1

-0

$$A$$ vector is defined as $$f = y\widehat i + x\widehat j + z\widehat k\,\,$$. Where $$\widehat i,\widehat j,$$ and $$\widehat k$$ are unit vectors in cartesian $$(x, y, z)$$ coordinate system. The surface integral -
-over the closed surface $$S$$ of a cube with vertices having the following coordinates: $$(0,0,0), (1, 0, 0), (0, 1, 0), (0,0,1), (1, 0, 1), (1,1,1), (0, 1, 1), (1, 1, 0)$$ is _______.

Your input ____

3

GATE IN 2013

MCQ (Single Correct Answer)

+1

-0.3

For a vector $$E,$$ which one of the following statements is NOT TRUE?

4

GATE IN 2009

MCQ (Single Correct Answer)

+1

-0.3

A sphere of unit radius is centered at the origin. The unit normal at a point $$(x, y, z)$$ on the surface of the sphere is the vector.

Questions Asked from Vector Calculus (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

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