Evaluate $\iint _ { S } \mathbf { F } \cdot d \mathbf { S }$ , where $\mathbf { F } = ( x , y , z ) = y \mathbf { j } + z \mathbf { k }$ and S is the cube bounded by $x = \pm 1 , \quad y = \pm 1 , \quad z = \pm 1$ .
A) $16$
B) $8$
C)$- 8$
D)$1$
E) $32$
F)$4$
G)$- 4$
H) $0$

Question

Evaluate $\iint _ { S } \mathbf { F } \cdot d \mathbf { S }$ , where $\mathbf { F } = ( x , y , z ) = y \mathbf { j } + z \mathbf { k }$ and S is the cube bounded by $x = \pm 1 , \quad y = \pm 1 , \quad z = \pm 1$ .
A) $16$ 
B) $8$ 
C)$- 8$ 
D)$1$
E) $32$
F)$4$
G)$- 4$
H) $0$

Quizplus · Accepted Answer

The surface integral of a vector field over a closed surface is zero.

Evaluate ∬SF⋅dS\iint _ { S } \mathbf { F } \cdot d \mathbf { S }∬S​F⋅dS

Evaluate $\iint _ { S } \mathbf { F } \cdot d \mathbf { S }$