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Recent questions tagged vectorcalculus
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GATE Civil 2021 Set 2  Question: 3
The unit normal vector to the surface $X^{2} + Y^{2} + Z^{2} – 48 = 0$ at the point $(4, 4, 4)$ is $\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$ $\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}$ $\frac{2}{\sqrt{2}},\frac{2}{\sqrt{2}},\frac{2}{\sqrt{2}}$ $\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}}$
asked
Mar 1
in
Calculus
by
jothee
(
5.2k
points)
gatecivil2021set2
calculus
vectorcalculus
vectoridentities
unitnormalvector
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2
GATE2017 CE219
The divergence of the vector field $V=x^2 i + 2y^3 j + z^4 k$ at $x=1, \: y=2, \: z=3$ is ________
asked
Aug 7, 2019
in
Calculus
by
gatecse
(
4k
points)
gate2017ce2
calculus
vectorcalculus
divergence
numericalanswers
0
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0
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3
GATE2019 CE2: 4
What is curl of the vector field $2x^2y \textbf{i} + 5z^2 \textbf{j} – 4yz \textbf{k}$? $6z \textbf{i} + 4x \textbf{j} – 2x^2 \textbf{k}$ $6z \textbf{i}  8xy \textbf{j} + 2x^2 y\textbf{k}$ $ 14 z \textbf{i} + 6y \textbf{j} + 2x^2 \textbf{k}$ $14z \textbf{i} – 2x^2 \textbf{k}$
asked
Feb 12, 2019
in
Calculus
by
Arjun
(
8.7k
points)
gate2019ce2
calculus
vectorcalculus
vectoridentities
fieldvectors
curl
0
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0
answers
4
GATE2018 CE2: 37
The value (up to two decimal places) of a line integral $\int_C \overrightarrow{F}(\overrightarrow{r}) . d\overrightarrow{r}$, for $ \overrightarrow{F}(\overrightarrow{r}) = x^2 \hat{i} + y^2 \hat{j} $ along $C$ which is a straight line joining $(0, 0)$ to $(1, 1)$ is _________
asked
Feb 17, 2018
in
Calculus
by
gatecse
(
4k
points)
gate2018ce2
numericalanswers
calculus
vectorcalculus
lineintegral
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