CHAPTER 4 GRADIENT, DIVERGENCE CURL AND Example 4.14 In  Evaluate r 2 In    r r  2    1  r 2 CURL  If is a differentiable vector field, then the curl or rotation of , written Ax, y, z A , curl is defined by  A A  ˆj  A2 iˆ A3 ˆj  kˆ A1 Curl is a vector function. A Example 4.15 y iˆ x  (1,3,-2). If , determine curl at the point    A x z y x yz kˆ A ˆj 2 2 2 2 2 2
CHAPTER 4 GRADIENT, DIVERGENCE AND CURL Example 4.14 Evaluate 2 In r  In r    r  2     1 r 2 CURL If Ax, y, z  is a differentiable vector field, then the curl or rotation of A , written  A , curl A is defined by  ˆj   iˆ A1 ˆj A2 kˆ A3 Curl A is a vector function. Example 4.15 If A  y 2 x 2 z 2 iˆ  x 2  y 2  ˆj x 2 yz kˆ , determine curl A at the point (1,3,-2).