Let $\mathbf { F } ( x , y , z ) = x \mathbf { j }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x \mathbf { j }$ . Evaluate the line integral $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$ along the rectangular path from $( 0,0,0 )$ to $( 1,0,1 )$ to $( 1,1,1 )$ to $( 0,1,0 )$ to $( 0,0,0 )$ .

A) $1$

B) $\sqrt { 2 }$
C) $\sqrt { 3 }$
D) $2$
E) $\frac { \sqrt { 2 } } { 2 }$
F) $\frac { \sqrt { 3 } } { 2 }$

G) $\frac { 1 } { 2 }$

H) $\frac { 1 } { 4 }$