Question

Find curl F when F = 6xyzi+j+6x2yk, and also when F = 3yzi+3xzj+3xyk. Thank you!

Answer 1

http://upload.wikimedia.org/wikipedia/en/math/8/e/8/8e818d1115abc22b39e736e9c704ed93.png

Answer 2

i j k
6yz 0 0
6xyz 1 6x^2y

Answer 3

Thank you!

Answer 4

I have a follow up question, if you don't mind: Evaluate the integral above by finding the integral from (0,0) to (4,7), adding the integral from (4,7) to (0,7), and adding the integral from (0,7) to (0,0):
2ysin(8x)dx+3xydy