Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

I am new to this forum and this is my first post.

I hope this is the right place to open this topic.

I have a homework for my mathematical methods for physics course and i am kind of stuck into a question:

v=ψ∇β

show that ∇xv is perpendicular to v.

Here v is a vector

x is cross product

∇ is gradient vector operator

ψ and β are non-vectoral functions

I know it seems obvious, but i need mathematical proof which probably contains some identities of triple cross product with del operator.

Like i said, i couldn't figure it out.

Already now, i want to thank you for all your help.

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# Vector analysis

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