1
GATE CE 2005
MCQ (Single Correct Answer)
+2
-0.6
The line integral $$\int {\,\,V.dr\,\,} $$ of the vector function $$V\left( r \right) = 2xyz\widehat i + {x^2}z\widehat j + {x^2}y\widehat k\,\,$$ from the origin to the point $$P(1,1,1)$$
A
is $$1$$
B
is zero
C
is $$-1$$
D
cannot be determined without specifying the path
2
GATE CE 2002
MCQ (Single Correct Answer)
+2
-0.6
The directional derivative of the following function at $$(1, 2)$$ in the direction of $$(4i+3j)$$ is : $$f\left( {x,y} \right) = {x^2} + {y^2}$$
A
$$4/5$$
B
$$4$$
C
$$2/5$$
D
$$1$$
GATE CE Subjects
Fluid Mechanics and Hydraulic Machines
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