Mixing
Formula of the gradient of vector dot product
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On Wikipedia in the article "Vector calculus identities"
(https://en.m.wikipedia.org/wiki/Vector_calculus_identities)
there are the following two formulas for computing the gradient of vector dot product:
$nabla (A cdot B ) = (A cdot nabla) B + (B cdot nabla) A + A times (nabla times B) + B times (nabla times A)$
$nabla (A cdot B) = nabla A cdot B + nabla B cdot A$
Could you please explain what is the difference between terms $nabla A cdot B$ and $(B cdot nabla ) A$?
vector-analysis tensors
asked Jan 27 at 8:52
TanyaTanya
12
$endgroup$
add a comment |
$begingroup$
On Wikipedia in the article "Vector calculus identities"
(https://en.m.wikipedia.org/wiki/Vector_calculus_identities)
there are the following two formulas for computing the gradient of vector dot product:
$nabla (A cdot B ) = (A cdot nabla) B + (B cdot nabla) A + A times (nabla times B) + B times (nabla times A)$
$nabla (A cdot B) = nabla A cdot B + nabla B cdot A$
Could you please explain what is the difference between terms $nabla A cdot B$ and $(B cdot nabla ) A$?
vector-analysis tensors
asked Jan 27 at 8:52
TanyaTanya
12
$endgroup$
$begingroup$
Where on wikipedia?
$endgroup$
– Paul Sinclair
Jan 27 at 18:13
$begingroup$
Here en.m.wikipedia.org/wiki/Vector_calculus_identities
$endgroup$
– Tanya
Jan 27 at 22:55
add a comment |
$begingroup$
On Wikipedia in the article "Vector calculus identities"
(https://en.m.wikipedia.org/wiki/Vector_calculus_identities)
there are the following two formulas for computing the gradient of vector dot product:
$nabla (A cdot B ) = (A cdot nabla) B + (B cdot nabla) A + A times (nabla times B) + B times (nabla times A)$
$nabla (A cdot B) = nabla A cdot B + nabla B cdot A$
Could you please explain what is the difference between terms $nabla A cdot B$ and $(B cdot nabla ) A$?
vector-analysis tensors
asked Jan 27 at 8:52
TanyaTanya
12
$endgroup$
On Wikipedia in the article "Vector calculus identities"
(https://en.m.wikipedia.org/wiki/Vector_calculus_identities)
there are the following two formulas for computing the gradient of vector dot product:
$nabla (A cdot B ) = (A cdot nabla) B + (B cdot nabla) A + A times (nabla times B) + B times (nabla times A)$
$nabla (A cdot B) = nabla A cdot B + nabla B cdot A$
Could you please explain what is the difference between terms $nabla A cdot B$ and $(B cdot nabla ) A$?
vector-analysis tensors
vector-analysis tensors
asked Jan 27 at 8:52
TanyaTanya
12
asked Jan 27 at 8:52
TanyaTanya
12
edited Jan 27 at 22:55
Tanya
asked Jan 27 at 8:52
TanyaTanya
12
asked Jan 27 at 8:52
TanyaTanya
12
asked Jan 27 at 8:52
TanyaTanya
12
12
$begingroup$
Where on wikipedia?
$endgroup$
– Paul Sinclair
Jan 27 at 18:13
$begingroup$
Here en.m.wikipedia.org/wiki/Vector_calculus_identities
$endgroup$
– Tanya
Jan 27 at 22:55
add a comment |
$begingroup$
Where on wikipedia?
$endgroup$
– Paul Sinclair
Jan 27 at 18:13
$begingroup$
Here en.m.wikipedia.org/wiki/Vector_calculus_identities
$endgroup$
– Tanya
Jan 27 at 22:55
$begingroup$
Where on wikipedia?
$endgroup$
– Paul Sinclair
Jan 27 at 18:13
$begingroup$
Where on wikipedia?
$endgroup$
– Paul Sinclair
Jan 27 at 18:13
$begingroup$
Here en.m.wikipedia.org/wiki/Vector_calculus_identities
$endgroup$
– Tanya
Jan 27 at 22:55
$begingroup$
Here en.m.wikipedia.org/wiki/Vector_calculus_identities
$endgroup$
– Tanya
Jan 27 at 22:55
add a comment |
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$begingroup$
Where on wikipedia?
$endgroup$
– Paul Sinclair
Jan 27 at 18:13
$begingroup$
Here en.m.wikipedia.org/wiki/Vector_calculus_identities
$endgroup$
– Tanya
Jan 27 at 22:55