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Vector Calculus

Engineering Mathematics

Previous Years Questions

Marks 1

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The vector that is NOT perpendicular to the vectors $$\,\,\left( {i + j + k} \right)\,\,$$ and $$\,\left( {i + 2j + 3k} ...
GATE IN 2016
The magnitude of the directional derivative of the function $$f\left( {x,y} \right) = {x^2} + 3{y^2}$$ in a direction no...
GATE IN 2015
$$A$$ vector is defined as $$f = y\widehat i + x\widehat j + z\widehat k\,\,$$. Where $$\widehat i,\widehat j,$$ and $$...
GATE IN 2014
For a vector $$E,$$ which one of the following statements is NOT TRUE?
GATE IN 2013
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...
GATE IN 2009
If a vector $$\overrightarrow R \left( t \right)$$ has a constant magnitude then
GATE IN 2005

Marks 2

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The direction of vector $$A$$ is radially outward from the origin, with $$\left| A \right| = K\,{r^n}$$ where $${r^2} = ...
GATE IN 2012
A scalar field is given by $$f = {x^{2/3}} + {y^{2/3}},$$ where $$x$$ and $$y$$ are the Cartesian coordinates. The deriv...
GATE IN 2005

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