CHAPTER 4 GRADIENT, DIVERGENCE CURL AND Example 4.18  Evaluate     A1 A2 A3   kˆ ˆj iˆ x   0 x  x   Thus 0  Definition: A vector is called irrotational if curl 0  F F Example 4.19 r2 Show that the vector is irrotational. r j k ˆj  kˆ r  i  0iˆ  0  0kˆ  0 ˆj Hence irrotational.
CHAPTER 4 Example 4.18 Evaluate    GRADIENT, DIVERGENCE AND CURL     iˆ A1 ˆj A2 kˆ A3    0 Thus    0 Definition: A vector F is called irrotational if curl F  0 Example 4.19 Show that the vector r r2 is irrotational. r i j k ˆj   kˆ  0iˆ  0 ˆj  0kˆ  0 Hence irrotational. x x x