Will $vec{f}(x,y,z)=nabla times vec{g}(x,y,z)$ here?
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Suppose we have a vector field $vec{f}(x,y,z)$ defined everywhere in space except a certain region say $(y=3)$. We also know divergence of $vec{f}(x,y,z)$ is zero at all points where $vec{f}$ is defined. From this information, is it valid to say that: $$vec{f}(x,y,z)=nabla times vec{g}(x,y,z)$$ at all points wherever $vec{f}(x,y,z)$ is defined? Why? Why not?
multivariable-calculus vectors divergence curl
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Suppose we have a vector field $vec{f}(x,y,z)$ defined everywhere in space except a certain region say $(y=3)$. We also know divergence of $vec{f}(x,y,z)$ is zero at all points where $vec{f}$ is defined. From this information, is it valid to say that: $$vec{f}(x,y,z)=nabla times vec{g}(x,y,z)$$ at all points wherever $vec{f}(x,y,z)$ is defined? Why? Why not?
multivariable-calculus vectors divergence curl
asked yesterday
Alec
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Alec is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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up vote
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up vote
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down vote
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Suppose we have a vector field $vec{f}(x,y,z)$ defined everywhere in space except a certain region say $(y=3)$. We also know divergence of $vec{f}(x,y,z)$ is zero at all points where $vec{f}$ is defined. From this information, is it valid to say that: $$vec{f}(x,y,z)=nabla times vec{g}(x,y,z)$$ at all points wherever $vec{f}(x,y,z)$ is defined? Why? Why not?
multivariable-calculus vectors divergence curl
asked yesterday
Alec
183
New contributor
Alec is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Suppose we have a vector field $vec{f}(x,y,z)$ defined everywhere in space except a certain region say $(y=3)$. We also know divergence of $vec{f}(x,y,z)$ is zero at all points where $vec{f}$ is defined. From this information, is it valid to say that: $$vec{f}(x,y,z)=nabla times vec{g}(x,y,z)$$ at all points wherever $vec{f}(x,y,z)$ is defined? Why? Why not?
multivariable-calculus vectors divergence curl
multivariable-calculus vectors divergence curl
asked yesterday
Alec
183
New contributor
Alec is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked yesterday
Alec
183
New contributor
Alec is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked yesterday
Alec
183
New contributor
Alec is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked yesterday
Alec
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asked yesterday
Alec
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Alec is a new contributor. Be nice, and check out our Code of Conduct.
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