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Recent questions tagged vectorinplanes
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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 $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{6}$ $\frac{1}{3}$
asked
Feb 20
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Vector Analysis
by
Arjun
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gateec2021
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vectorinplanes
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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 __________
asked
Feb 20
in
Vector Analysis
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Arjun
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45
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numericalanswers
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vectorinplanes
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3
GATE ECE 2021  Question: 17
Consider the vector field $F\:=\:a_{x}\left ( 4yc_{1}z \right )+a_y\left ( 4x + 2z\right )+a_{z}\left ( 2y +z\right )$ 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 _________________
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Feb 20
in
Vector Analysis
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Arjun
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61
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gateec2021
numericalanswers
vectoranalysis
vectorinplanes
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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 _______
asked
Mar 28, 2018
in
Vector Analysis
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Milicevic3306
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42
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gate2016ec3
numericalanswers
vectoranalysis
vectorinplanes
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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 $2xy+2z=0$ is ________.
asked
Nov 23, 2017
in
Vector Analysis
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admin
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2.8k
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92
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gate2017ec2
vectorinplanes
numericalanswers
vectoranalysis
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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
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Nov 17, 2017
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Vector Analysis
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admin
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