Below is a picture of the vector field $\vec { F } ( x , y , z ) = F _ { 1 } ( x , y ) \vec { i } + F _ { 2 } ( x , y ) \vec { j }$ from above. Match the value of curl $\vec { F } ( 1,1,0 )$ with one of the following values: $\overrightarrow { 0 } , \vec { k } , - \vec { k } , \vec { k } / 2 , - \vec { k } / 2$

Question

Below is a picture of the vector field $\vec { F } ( x , y , z ) = F _ { 1 } ( x , y ) \vec { i } + F _ { 2 } ( x , y ) \vec { j }$ from above.  Match the value of curl $\vec { F } ( 1,1,0 )$ with one of the following values: $\overrightarrow { 0 } , \vec { k } , - \vec { k } , \vec { k } / 2 , - \vec { k } / 2$

Quizplus · Accepted Answer

The Answer of Below is a picture of the vector field $\vec { F } ( x , y , z ) = F _ { 1 } ( x , y ) \vec { i } + F _ { 2 } ( x , y ) \vec { j }$ from above.  Match the value of curl $\vec { F } ( 1,1,0 )$ with one of the following values: $\overrightarrow { 0 } , \vec { k } , - \vec { k } , \vec { k } / 2 , - \vec { k } / 2$

Below Is a Picture of the Vector Field F⃗(x,y,z)=F1(x,y)i⃗+F2(x,y)j⃗\vec { F } ( x , y , z ) = F _ { 1 } ( x , y ) \vec { i } + F _ { 2 } ( x , y ) \vec { j }F(x,y,z)=F1​(x,y)i+F2​(x,y)j​

Below Is a Picture of the Vector Field $\vec { F } ( x , y , z ) = F _ { 1 } ( x , y ) \vec { i } + F _ { 2 } ( x , y ) \vec { j }$