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Recent questions tagged vector-identities
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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 $\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$ $\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}}$ $\frac{2}{\sqrt{2}},\frac{2}{\sqrt{2}},\frac{2}{\sqrt{2}}$ $\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}},\frac{1}{\sqrt{5}}$
go_editor
asked
in
Calculus
Mar 1, 2021
by
go_editor
5.3k
points
gatecivil-2021-set2
calculus
vector-calculus
vector-identities
unit-normal-vector
0
votes
0
answers
2
GATE2019 CE-2: 4
What is curl of the vector field $2x^2y \textbf{i} + 5z^2 \textbf{j} – 4yz \textbf{k}$? $6z \textbf{i} + 4x \textbf{j} – 2x^2 \textbf{k}$ $6z \textbf{i} - 8xy \textbf{j} + 2x^2 y\textbf{k}$ $- 14 z \textbf{i} + 6y \textbf{j} + 2x^2 \textbf{k}$ $-14z \textbf{i} – 2x^2 \textbf{k}$
Arjun
asked
in
Calculus
Feb 12, 2019
by
Arjun
11.6k
points
gate2019-ce-2
calculus
vector-calculus
vector-identities
field-vectors
curl
0
votes
0
answers
3
GATE2016-1-29
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 x-axis) 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 $113.5^{\circ}$
Milicevic3306
asked
in
Calculus
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-1
calculus
vector-identities
0
votes
0
answers
4
GATE2015-1-30
The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.
Milicevic3306
asked
in
Calculus
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2015-ce-1
numerical-answers
calculus
vector-identities
directional-derivatives
0
votes
0
answers
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 $ad-bc$ $ac+bd$ $ad+bc$ $ab-cd$
Milicevic3306
asked
in
Calculus
Mar 25, 2018
by
Milicevic3306
11.9k
points
gate2012-ce
calculus
vector-identities
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