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Recent questions tagged vectoridentities
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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
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5.2k
points)
gatecivil2021set2
calculus
vectorcalculus
vectoridentities
unitnormalvector
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2
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
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8.7k
points)
gate2019ce2
calculus
vectorcalculus
vectoridentities
fieldvectors
curl
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0
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3
GATE2016129
The magnitudes of vectors $\textbf{P, Q}$ and $\textbf{R}$ are $100$ kN, $250$ kN and $150$ kN, respectively as shown in the figure. The respective values of the magnitude (in kN) and the direction (with respect to the xaxis) of the resultant vector are $290.9$ and $96.0^{\circ}$ $368.1$ and $94.7^{\circ}$ $330.4$ and $118.9^{\circ}$ $400.1$ and $113.5^{\circ}$
asked
Mar 28, 2018
in
Calculus
by
Milicevic3306
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11.9k
points)
gate2016ce1
calculus
vectoridentities
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0
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4
GATE2015130
The directional derivative of the field $u(x,y,z) = x^23yz$ in the direction of the vector $(\hat{i}+\hat{j}2 \hat{k})$ at point $(2, 1, 4)$ is _________.
asked
Mar 26, 2018
in
Calculus
by
Milicevic3306
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11.9k
points)
gate2015ce1
numericalanswers
calculus
vectoridentities
directionalderivatives
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0
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5
GATE Civil 2012  Question: 29
For the parallelogram OPQR shown in the sketch, $\overrightarrow{OP}=a \hat{i}+b \hat{j}$ and $\overrightarrow{OR}=c \hat{i} +d \hat{j}$. The area of the parallelogram is $adbc$ $ac+bd$ $ad+bc$ $abcd$
asked
Mar 25, 2018
in
Calculus
by
Milicevic3306
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11.9k
points)
gate2012ce
calculus
vectoridentities
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