Answer:
In vector calculus, the curl is a vector operator that describes the infinitesimal rotation of a vector field in three-dimensional Euclidean space. At every point in the field, the curl of that point is represented by a vector. The attributes of this vector (length and direction) characterize the rotation at that point. The direction of the curl is the axis of rotation, as determined by the right-hand rule, and the magnitude of the curl is the magnitude of rotation. If the vector field represents the flow velocity of a moving fluid, then the curl is the circulation density of the fluid. A vector field whose curl is zero is called irrotational. The curl is a form of differentiation for vector fields. The corresponding form of the fundamental theorem of calculus is Stokes' theorem, which relates the surface integral of the curl of a vector field to the line integral of the vector field around the boundary curve.
The alternative terminology rotation or rotational and alternative notations rot F and ∇ × F are often used (the former especially in many European countries, the latter, using the del (or nabla) operator and the cross product, is more used in other countries) for curl F.
Unlike the gradient and divergence, curl does not generalize as simply to other dimensions; some generalizations are possible, but only in three dimensions is the geometrically defined curl of a vector field again a vector field. This is a phenomenon similar to the 3-dimensional cross product, and the connection is reflected in the notation ∇ × for the curl.
Explanation:
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Answer:
great oil reserves that encourage economic activities such as oil pro- duction. ... Agriculture plays a smaller role in many countries, such ... leum or natural gas—to make fertilizers, medi- ... duction are important in both Southwest Asia and ... on the earth, producing an even greater strain on water resources
Explanation:
The false statement is - B. This map projection does not distort shapes.
The map shown on the image is a Mollweide projection map. This is a map that has an elliptical shape, unlike most of the maps that have a rectangular shape. It is a map that pretty accurately manages to depict the Earth's continents with their right sizes.
Unfortunately, it can not be said that the map is without flaws. It is a map that has distortions, as all the others do, but it is still a map where the distortions are very small, thus the depiction is much accurate than on most of the other map projections.
