Question

having trouble with Show that F = (y − z)i + (x + 2y − z)j − (x + y)k is conservative and find the work done by F from (1, 0, 0) to (1, 0, 1).

Answer 1

i recall something to the effect that a gradient field is conservative; and they have the property Fx = Fy

Answer 2

then there is the integral F(r).r'

Answer 3

rot F= (-1+1) i - (-1+1)j + ( 1-1)k = 0i + 0j + 0k
If rotF=null vector, then F is conservative