Vectors

A vector field which has a vanishing divergence is called as ____________

• Solenoidal field

• Rotational field

• Hemispheroidal field

• Irrotational field

Divergence and Curl of a vector field are ___________

• Scalar & Scalar

• Scalar & Vector

• Vector & Vector

• Vector & Scalar

A vector field with a vanishing curl is called as __________

• Irrotational

• Solenoidal

• Rotational

• Cycloidal

Find the distance between A(10, 30,60) and B(8, 60, 90).

• 4

• 5

• 6

• 7

The gradient of a scalar field V is a vector that represents both magnitude and the direction of the maximum space rate of increase of V.

• True

• False

Electric field E can be written as _________

• -Gradient of V

• -Laplacian of V

• Gradient of V

• Laplacian of V

Which of the following is a meaningless combination?

• graddiv

• divcurl

• curl grad

• div curl

Stokes's theorem is applicable only when a closed path exists and the vector field and its

derivatives are continuous within the path.

• True

• False

• Not necessarily

Where surfaces p = 2 and z = 1 intersect is

• an infinite plane

• a semiinfinite plane

• a circle

• a cylinder

• a cone