Marks 1

More
The divergence of the vector field $$\,V = {x^2}i + 2{y^3}j + {z^4}k\,\,$$ at $$x=1, y=2, z=3$$ is ________.
GATE CE 2017 Set 2
For the parallelogram $$OPQR$$ shown in the sketch. $$\,\overrightarrow {OP} = a\widehat i + b\widehat j$$ and $$\,\o... GATE CE 2012 If$$\overrightarrow a $$and$$\overrightarrow b $$are two arbitrary vectors with magnitudes$$a$$and$$b$$respectiv... GATE CE 2011 For a scalar function$$f(x,y,z)={x^2} + 3{y^2} + 2{z^2},\,\,$$the gradient at the point$$P(1,2,-1)$$is GATE CE 2009 The vector field$$\,F = x\widehat i - y\widehat j\,\,$$(where$$\widehat i$$and$$\widehat j$$are unit vectors) is GATE CE 2003 For the function$$\phi = a{x^2}y - {y^3}$$to represent the velocity potential of an ideal fluid,$${\nabla ^2}\,\,\p...
GATE CE 1999
The directional derivative of the function $$f(x, y, z) = x + y$$ at the point $$P(1,1,0)$$ along the direction $$\over... GATE CE 1996 The derivative of$$f(x, y)$$at point$$(1, 2)$$in the direction of vector$$\overrightarrow i + \overrightarrow j $$... GATE CE 1995 Marks 2 More The directional derivative of the field$$u(x, y, z)={x^2} - 3yz$$in the direction of the vector$$\left( {\wideh...
GATE CE 2015 Set 1
A particle moves along a curve whose parametric equations are: $$\,x = {t^3} + 2t,\,y = - 3{e^{ - 2t}}\,\,$$ and $$z=2... GATE CE 2014 Set 1 For a scalar function$$\,f\left( {x,y,z} \right) = {x^2} + 3{y^2} + 2{z^2},\,\,$$the directional derivative at the poi... GATE CE 2009 The velocity vector is given as$${\mkern 1mu} \vec V = 5xy\widehat i + 2{y^2}\widehat j + 3y{z^2}\widehat k.{\mkern 1mu...
GATE CE 2007
The directional derivative of $$\,\,f\left( {x,y,z} \right) = 2{x^2} + 3{y^2} + {z^2}\,\,$$ at the point $$P(2,1,3)$$ ...
GATE CE 2006
Value of the integral $$\,\,\oint {xydy - {y^2}dx,\,\,}$$ where, $$c$$ is the square cut from the first quadrant by the...
GATE CE 2005
The line integral $$\int {\,\,V.dr\,\,}$$ of the vector function $$V\left( r \right) = 2xyz\widehat i + {x^2}z\widehat ... GATE CE 2005 The directional derivative of the following function at$$(1, 2)$$in the direction of$$(4i+3j)$$is :$$f\left( {x,y}...
GATE CE 2002

EXAM MAP

Graduate Aptitude Test in Engineering

GATE ECE GATE CSE GATE CE GATE EE GATE ME GATE PI GATE IN

Joint Entrance Examination

JEE Main JEE Advanced