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.
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.
举一反三
- 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.
- The<br/>magnetic field lines are used to visually describe the distribution<br/>of the magnetic field around the magnet. For the following<br/>statement,( <br/>) is wrong. A: Each<br/>magnetic field line is a closed loop curve B: No<br/>two magnetic field lines can cross each other C: The<br/>length of the magnetic field line reflects the strength of the<br/>magnetic field D: The<br/>tangential direction of any point on any of the magnetic lines is the<br/>direction of the magnetic field at that point
- If F is a vector field, then divF is a vector field.
- Vector line equation of vector field [img=153x30]1803b7224204019.png[/img] passing through point M(1,2,3) ( ) A: [img=53x22]1803b72249c008c.png[/img] B: [img=59x22]1803b722521410c.png[/img] C: [img=166x29]1803b7226023f4c.png[/img] D: [img=78x51]1803b7226872e38.png[/img]
- Which is false? A: Streamlines and equipotential surfaces are perpendicular everywhere. B: Streamlines point from the position with lower potential to the position with higher potential. C: Streamlines do not intersect. D: The tangential direction of the streamline is the direction of the electric field intensity at the point.