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#1 2012-05-28 23:57:29

nevinsmith
Member
Registered: 2010-05-19
Posts: 39

proof?

Hi guys,

problem goes like this,
proof curl(u+v)=curl u + curl v

I assume u and v are 2 different vector fields... and have sufficient differentiability

Is there a way to do this without expanding the cross product?

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#2 2012-05-29 00:07:32

nevinsmith
Member
Registered: 2010-05-19
Posts: 39

Re: proof?

Also, when adding vector fields like u+v
is it the same as when you add normal vectors?

say u=(ai+bj+ck)  and v=(di+ej+fk)   does u+v=(a+d)i+(b+e)j+(c+f)k ???

what is the graphic representation of adding vector fields?? Is it just adding every two vectors of the same co-ordinates together?

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