Recent questions tagged vector calculus

+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

+1 vote

1 answer

Prove vector F = (y^2cosx + z^3)i + (2ysinx - 4)j + 3xz^2k is irrotational and find its scalar potential

asked Apr 3, 2019 in Mathematics by kratos

+2 votes

1 answer

An object of mass 3 kg is at rest. Now a force of vector F = 6t^2 i + 4t j is applied on the object then velocity of object at t = 3 sec.

asked Mar 30, 2019 in Class 12 by kratos

+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

+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

+2 votes

1 answer

Show that vector F = vector(yzi + zxj + xyk)

asked Feb 22, 2019 in JEE by kratos

+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

+3 votes

1 answer

Formula for current flowing through a wire is I = 6t^2 + 4t – 2 here t is in second and I is an ampere. In this wire,

asked Jan 13, 2019 in JEE by kratos

+1 vote

1 answer

Find a unit tangent vector to the following surfaces at the specified points x = t^2 + 1, y = 4t - 3, z = 2t^2 - 6t at t = 2.

asked Jan 9, 2019 by kratos

+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

+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

+1 vote

1 answer

Find the constant m such that the vector ϕ = (x + 3y)i + (y - 2z)j + (x + mz)k is solenoidal.

asked Nov 10, 2018 in Physics by kratos

+2 votes

1 answer

If vector F = (3x^2 + 6y)i - 14yzj + 20xz^2k, evaluate ∫ vector F.dr from (0, 0,0) to (1,1,1) along the curve x = t, y = t^2, z = t^3

asked Nov 1, 2018 in JEE by kratos

+3 votes

1 answer

\(\int_D ({\nabla\cdot} F)dV=\int_{\partial D} F\cdot ndS\)

asked Oct 31, 2018 in JEE by kratos

+3 votes

1 answer

Find a unit vector normal to the surface x^2 + y^2 - z = 10. at (1, 1, 1)

asked Oct 22, 2018 in Mathematics by kratos

+1 vote

1 answer

Find the directional derivative of ϕ = x^2yz + 2xz^3 at (1, 1, −1) in the direction 2i − 2j + k.

asked Oct 5, 2018 in Mathematics by kratos

+3 votes

1 answer

Find the directional derivative of φ = x^2yz + 4xz + xyz at (1,2,3) in the direction of vector(2i + j − k).

asked Sep 30, 2018 in Mathematics by kratos

+3 votes

1 answer

If vector F = (3x^2 + 6y)i – 14yzj + 20xz^2 k. Evaluate ∫cvector (F.dr)⋅

asked Aug 27, 2018 in JEE by kratos

+2 votes

1 answer

Find ∇(1/r vector r)

asked Aug 26, 2018 in Mathematics by kratos

+3 votes

0 answers

The displacement ‘*’ of a particle at time ‘t’ is given by * = 4t^3 – 6t^2 + t – 7.

asked Jul 28, 2018 in JEE by kratos

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