1 1 vote If a vector field $ \displaystyle{} \vec{V}$ is related to another vector field $ \displaystyle{} \vec{A}$ through $ \displaystyle{} \vec{V}=\nabla \times \vec{A}$, which of the following is true ? Note: $C$ and $S_{C}$ refer to any closed contour and any surface whose boundary is $C$. $ \displaystyle{} \oint_{C} \vec{V} \cdot \overrightarrow{d l}=\int_{S_{C}} \int \vec{A} \cdot \overrightarrow{d S}$ $ \displaystyle{} \oint_{C} \vec{A} \cdot \overrightarrow{d l}=\int_{S_{C}} \int \vec{V} \cdot \overrightarrow{d S}$ $ \displaystyle{} \oint_{C} \nabla \times \vec{V} \cdot \overrightarrow{d l}=\int_{S_{C}} \int \nabla \times \vec{A} \cdot \overrightarrow{d S}$ $ \displaystyle{} \oint_{C} \nabla \times \vec{A} \cdot \overrightarrow{d l}=\int_{S_{C}} \int \vec{V} \cdot \overrightarrow{d S}$ Vector Analysis gate2009-ec vector-analysis + – admin 420 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
