Question

Let

F = (z − y) i  + (x − z) j  + (y − x) k 
. Let C be the rectangle of width 2 and length 5 centered at (8, 8, 8) on the plane x + y + z = 24, oriented clockwise when viewed from the origin.

(a) Find

curlF




(b) Use Stokes' Theorem to find
integral F · dr

Answer 1

I fond the curlF = I+j+k

and I know that stokes' thm, is integral curlF * dA

but I don't know how to find dA

Answer 2

@ganeshie8

Answer 3

@dan815

Answer 4

@SolomonZelman

Answer 5

@wio do you have any idea?

Answer 6

You need to parametrize the surface and integrate on it.

Answer 7

but its a rectangle

Answer 8

b