Determine whether the vector field is conservative and/or incompressible on R³. A) conservative and not incompressible B) conservative and incompressible C) incompressible and not conservative D) neither incompressible nor conservative

Question

Quizplus · Accepted Answer

To determine if the vector field is conservative, we compute its curl. The curl of the vector field is nonzero, which means the vector field is not conservative. To determine if the vector field is incompressible, we compute its divergence. The divergence is zero, which means the vector field is incompressible. Therefore, the vector field is conservative and not incompressible.

Determine Whether the Vector Field Is Conservative And/or Incompressible on R3

Determine Whether the Vector Field Is Conservative And/or Incompressible on R³