If F is a vector field, then divF is a vector field.
举一反三
- In the vector field, the vector line is such a curve where ( ) A: The tangent direction at each point on it is orthogonal to the direction of the vector field at that point. B: The tangent direction at each point on it is parallel to the direction of the vector field at that point. C: The value of each point on it is equal to the value of the vector field at that point. D: The vector line is the geometric curve of the vector field function.
- Which of the following statements is wrong about curl? A: The curl of a vector field is a scalar and a function of the spatial coordinate points. B: At a certain point M in the field,[img=84x28]1803b721c59068a.png[/img] means that the vector line of this point is spinning. C: At a certain point M in the field,[img=84x26]1803b721cd97fe6.png[/img] means that the vector line of this point is spinless. D: Curl have the dimension of circumferential area density.
- When a vector field satisfies ( ), it can be expressed by the gradient of a scalar field. A: [img=95x37]1803b96a67f7f7c.png[/img] B: [img=87x36]1803b96a6fd7092.png[/img] C: [img=129x51]1803b96a77abc30.png[/img] D: [img=100x42]1803b96a7efa2a8.png[/img]
- The vector line equation of the vector field [img=408x30]1803b720e914a89.png[/img] is( ) A: [img=348x26]1803b720f3ee3da.png[/img] B: [img=304x26]1803b720fb4275c.png[/img] C: [img=304x48]1803b721069f000.png[/img] D: [img=275x48]1803b7210f9d574.png[/img]
- The divergence of a vector field [img=148x28]1803a2a02526c11.png[/img] is A: 0 B: 15 C: [img=94x28]1803a2a02dd61cb.png[/img] D: [img=175x47]1803a2a035d047e.png[/img]