Rotacional

Definition

(66)\[\vec{\nabla}\times \vec{f}=\left(\frac{\partial }{\partial x}\vec{i}+\frac{\partial }{\partial y}\vec{j}+\frac{\partial }{\partial z}\vec{k}\right) \times \left(f_x\vec{i}+f_y\vec{j}+f_z\vec{k}\right)\]

Interpretation

The rotational measures how much a vector field turns from point to point,

Example

../_images/rotacional.png

Fig. 28 The rotational signifies the shift in direction of the vector field. A positive value indicates counter clockwise rotation while a negative one indicates clockwise rotation.

Introducir imagen del rotacional

Problema and solution examples