Let $\mathbf { F } ( x , y , z ) = - y \mathbf { i } + x \mathbf { j } + z \mathbf { k }$ and C be the boundary of $x ^ { 2 } + y ^ { 2 } \leq 4$ on the xy-plane. Using Stokes' Theorem, $\int _ { C } ^ { \mathbf { F } } \cdot \mathbf { T } d s$ is

A)9?
B)8?
C)7?
D)6?
E)5?

Question

Let

\mathbf { F } ( x , y , z ) = - y \mathbf { i } + x \mathbf { j } + z \mathbf { k }

and C be the boundary of

x ^ { 2 } + y ^ { 2 } \leq 4

on the xy-plane. Using Stokes' Theorem,

\int _ { C } ^ { \mathbf { F } } \cdot \mathbf { T } d s

is

A)9?
B)8?
C)7?
D)6?
E)5?

Quizplus · Accepted Answer

The Answer of Let $\mathbf { F } ( x , y , z ) = - y \mathbf { i } + x \mathbf { j } + z \mathbf { k }$ and C be the boundary of $x ^ { 2 } + y ^ { 2 } \leq 4$ on the xy-plane. Using Stokes' Theorem, $\int _ { C } ^ { \mathbf { F } } \cdot \mathbf { T } d s$ is

A)9?
B)8?
C)7?
D)6?
E)5?

Let F(x,y,z)=−yi+xj+zk\mathbf { F } ( x , y , z ) = - y \mathbf { i } + x \mathbf { j } + z \mathbf { k }F(x,y,z)=−yi+xj+zk

Let $\mathbf { F } ( x , y , z ) = - y \mathbf { i } + x \mathbf { j } + z \mathbf { k }$