1
GATE ME 2025
Numerical
+2
-0
The directional derivative of the function $f$ given below at the point $(1,0)$ in the direction of $\frac{1}{2}(\hat{i}+\sqrt{3} \hat{j})$ is _______ (Rounded off to 1 decimal place).
$$ f(x, y)=x^2+x y^2 $$
Your input ____
2
GATE ME 2022 Set 1
Numerical
+2
-0
Consider two vectors
$\rm \vec a = 5 i + 7 j + 2 k $
$\rm \vec b = 3i - j + 6k$
Magnitude of the component of $\vec a$ orthogonal to $\vec b$ in the plane containing the vectors $\vec a$ and $\vec{\bar b}$ is ______ (round off to 2 decimal places).
Your input ____
3
GATE ME 2017 Set 2
Numerical
+2
-0
The surface integral $$\int {\int\limits_s {F.ndS} } $$ over the surface $$S$$ of the sphere $${x^2} + {y^2} + {z^2} = 9,$$ where $$\,F = \left( {x + y} \right){\rm I} + \left( {x + z} \right)j + \left( {y + z} \right)k\,\,$$ and $$n$$ is the unit outward surface normal, yields ___________.
Your input ____
4
GATE ME 2017 Set 1
Numerical
+2
-0
For the vector $$\overrightarrow V = 2yz\widehat i + 3xz\widehat j + 4xy\widehat k,$$ the value of $$\,\nabla .\left( {\nabla \times \overrightarrow \nabla } \right)\,\,$$ is ______________.
Your input ____
Questions Asked from Vector Calculus (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude