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Recent questions tagged vector integration
+1
vote
1
answer
Evaluate ∫∫s(axi + byj + czk).n d * where * is the surface of the sphere x^2 + y^2 + z^2 = 1.
asked
Apr 5, 2019
in
JEE
by
kratos
vector calculus
jee
vector integration
jee mains
+3
votes
1
answer
Show that [∂r/∂u1, ∂r/∂u2, ∂r/∂u3] = h1 h2 h3 = 1/[∇u1, ∇u2, ∇u3].
asked
Apr 3, 2019
in
Class 12
by
kratos
motion in a straight line
neet
jee
vector integration
jee mains
binomial theorem
+2
votes
1
answer
If f (x, y) = x y, find the gradient vector ∇f (3, 2) and use it to find the tangent line to the level curve f (x, y) = 6 at the point (3, 2)
asked
Apr 2, 2019
in
JEE
by
kratos
jee
vector integration
jee mains
+3
votes
1
answer
Determine the divergence of the following vector fields at given points– (i) vector A = yzi + 4(x +y)j + xyz at(1, -2, 1)
asked
Mar 27, 2019
in
JEE
by
kratos
vector calculus
electromagnetic waves
jee
vector integration
jee mains
+3
votes
1
answer
Find the ∇r^m.
asked
Mar 22, 2019
in
JEE
by
kratos
jee
vector integration
jee mains
+3
votes
1
answer
Verify Green’* theorem in the plane for ∫c{(xy + y^2)dx + x^2dy}
asked
Mar 4, 2019
in
JEE
by
kratos
vector calculus
jee
vector integration
jee mains
+2
votes
1
answer
Show that vector F = vector(yzi + zxj + xyk)
asked
Feb 22, 2019
in
JEE
by
kratos
vector integration
vector calculus
jee
jee mains
+2
votes
1
answer
Use the line integral, compute work done by a force vector F = x0c x0c (2y + 3)i + xzj + (yz + x)k
asked
Jan 24, 2019
in
JEE
by
kratos
jee
vector integration
jee mains
+3
votes
1
answer
Obtain expression for grad α, Div bar A and curl bar A in spherical coordinates.
asked
Jan 20, 2019
in
JEE
by
kratos
vector calculus
jee
vector integration
jee mains
+1
vote
1
answer
Using divergence theorem, evaluate ∫∫s vector F.ndS where vector F = 4xzi - y^2j + yzk
asked
Jan 14, 2019
in
JEE
by
kratos
jee
vector integration
jee mains
+2
votes
1
answer
Evaluate ∫c(xy - x^2)dx + x^2ydy where C is the closed curve formed by y = 0,
asked
Jan 10, 2019
in
JEE
by
kratos
jee
vector integration
jee mains
+1
vote
1
answer
True or false: ∇f (a, b) is perpendicular to the graph of z = f (x, y) at the point (a, b)?
asked
Dec 30, 2018
in
JEE
by
kratos
jee
class-6
vector integration
jee mains
data handling
+1
vote
1
answer
Find the gradient of f = x^2y + zy^2 + xz^2 in curvilinear coordinates.
asked
Dec 27, 2018
in
JEE
by
kratos
jee
determinants
vector integration
jee mains
class-12
+1
vote
1
answer
If f and g are continuously differentiable show that ∇f × ∇g is a solenoidal.
asked
Dec 4, 2018
in
JEE
by
kratos
jee
vector integration
jee mains
+1
vote
1
answer
Evaluate: ∫cVector (F.dr)⋅ where vector F = yzi + zxj + xyk and C is given by vector r = ti + t^2j + t^3k;
asked
Nov 12, 2018
in
JEE
by
kratos
vector calculus
jee
vector integration
jee mains
+3
votes
1
answer
Show that ∇ × vector (A × B) = vector A∇ . vector B - vector B∇. A + vector B . ∇A - vector A .∇ vector B.
asked
Nov 12, 2018
in
JEE
by
kratos
jee
vector integration
jee mains
+3
votes
1
answer
Evaluate ∫cvector (F.dr)⋅ where vector F = x^2i + y^2j + z^2k and C is given by x = cost,
asked
Nov 12, 2018
in
JEE
by
kratos
jee
vector integration
jee mains
+3
votes
1
answer
Verify Green’* theorem in the plane for ∫c(x + y)dx + (x − y)dy,
asked
Nov 12, 2018
in
JEE
by
kratos
vector calculus
jee
vector integration
jee mains
+2
votes
1
answer
A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds,
asked
Nov 6, 2018
in
JEE
by
kratos
binomial theorem
jee
vector integration
jee mains
+3
votes
1
answer
The area of one of the curvilinear triangles formed by the curves y =sin x, y =cos x and X-axis is
asked
Nov 3, 2018
in
JEE
by
kratos
light
force and motion
class-11
jee
kinematics
class-6
class-7
vector integration
jee mains
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