Surface Integrals of normal components of vector fields

[Marv]

Hey Guys,
I was hoping you could provide me with some help. Its been a long time since calculus and I have some HW i'm trying to figure out. There are two problems i'm looking at right now and i'm not sure how to set it up and what do they mean by normal component to the vector?

Marv

1) Evaluate the surface integral of the normal component of the vector F = xex+yey +zez over the closed surface of the cube bounded by the planes x = ±1, y = ±1, z = ±1.

2) Evaluate the surface integral of the normal component of the vector field
F = yzex + xzey + xyez over the closed surface of the 3-D region bounded above by z = 1 and below by z = x2 + y2.

 

[stapel]

Are the values after the "e's" supposed to be exponents? For instance, does "xex" mean "xe^x" (that is, "x e^x")? Similarly, does "x2" mean "x²" (that is, "x^2")?

Thank you.

Eliz.

 

[Marv]

i'm sorry....my professors uses that notation as i,j,k -> ex=i, ey=j, ez=k because he says k is for thermal expansion, blah

 

[Marv]

maybe someone knows of some examples on the web similar so i have a starting point? I'd really appreciate any hints.