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Recent questions tagged vector-in-planes
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GATE ECE 2021 | Question: 1
The vector function $F\left ( r \right )=-x\hat{i}+y\hat{j}$ is defined over a circular arc $C$ shown in the figure. The line integral of $\int _{C} F\left ( r \right ).dr$ is $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{6}$ $\frac{1}{3}$
Arjun
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Vector Analysis
Feb 20, 2021
by
Arjun
4.5k
points
184
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gateec-2021
vector-analysis
vector-in-planes
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2
GATE ECE 2021 | Question: 16
If the vectors $(1.0,\:-1.0,\:2.0)$, $(7.0,\:3.0,\:x)$ and $(2.0,\:3.0,\:1.0)$ in $\mathbb{R}^{3}$ are linearly dependent, the value of $x$ is __________
Arjun
asked
in
Vector Analysis
Feb 20, 2021
by
Arjun
4.5k
points
107
views
gateec-2021
numerical-answers
vector-analysis
vector-in-planes
0
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0
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3
GATE ECE 2021 | Question: 17
Consider the vector field $F\:=\:a_{x}\left ( 4y-c_{1}z \right )+a_y\left ( 4x + 2z\right )+a_{z}\left ( 2y +z\right )$ in a rectangular coordinate system $(x,y,z)$ with unit vectors $a_{x},\:a_{y}$ and $a_{z}$. If the field $F$ is irrotational (conservative), then the constant $c_{1}$ (in integer) is _________________
Arjun
asked
in
Vector Analysis
Feb 20, 2021
by
Arjun
4.5k
points
98
views
gateec-2021
numerical-answers
vector-analysis
vector-in-planes
0
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0
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4
GATE ECE 2016 Set 3 | Question: 28
A triangle in the $xy$-plane is bounded by the straight lines $2x=3y, \: y=0$ and $x=3$. The volume above the triangle and under the plane $x+y+z=6$ is _______
Milicevic3306
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Vector Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
points
67
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gate2016-ec-3
numerical-answers
vector-analysis
vector-in-planes
0
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0
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5
GATE ECE 2017 Set 2 | Question: 3
The smaller angle (in degrees) between the planes $x+y+z=1$ and $2x-y+2z=0$ is ________.
admin
asked
in
Vector Analysis
Nov 23, 2017
by
admin
2.8k
points
106
views
gate2017-ec-2
vector-in-planes
numerical-answers
vector-analysis
0
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0
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6
GATE ECE 2017 Set 1 | Question: 3
Consider the following statements about the linear dependence of the real valued function $y_{1}=1,y_{2}=x$ and $y_{3}=x^{2}$ over the field of real numbers. $y_{1},y_{2}$ and $y_{3} $ are linearly independent on $-1\leq x\leq 0$ ... among the following is correct? Both I and II are true Both I and III are true Both II and IV are true Both III and IV are true
admin
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Vector Analysis
Nov 17, 2017
by
admin
2.8k
points
516
views
gate2017-ec-1
vector-analysis
vector-in-planes
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