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Honstine
 2 years ago
v dot ( v cross w ) = 0 I think it is true
Honstine
 2 years ago
v dot ( v cross w ) = 0 I think it is true

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physics&me
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, you are right, because cross product vector is always perpendicular to both of the vectors we are multiplying, thus it's perpendicular to vector v. Dot product has in itself the cosine of the angle between two given vectors, and we know that the cosine of 90 is 0.

kakk
 one year ago
Best ResponseYou've already chosen the best response.0I think this concept can be applied to div(curl F) = 0 as well

Topi
 8 months ago
Best ResponseYou've already chosen the best response.0It's also true because: a dot (b cross c) = (a cross b) dot c

Topi
 8 months ago
Best ResponseYou've already chosen the best response.0Btw. If you didn't know: a dot (b cross c) = c dot (a cross b) = b dot (c cross a) also and from the fact that dotproduct is commutative and the second permutation we get the fact that one can exchange the dot and cross in triple product. These are very easy to prove using the matrix presentation of the triple product.
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