- #1
renrenbin
- 7
- 0
please prove :
nabla(a dot b)=(b dot nabla)a+(a dot nabla)b+b cross nabla cross a+a cross nabla cross b;
(a and b are all vectors)
when I was proving it,I found it impossible to go from right side to left side. I don't know whether '(b dot nabla)a = b (nabla a)' is right or not , when proving ,I found only when it is right can I prove the equation.
Can you help me to prove '(b dot nabla)a = b (nabla a)'? Thank you very much!
(I am a freshman)
nabla(a dot b)=(b dot nabla)a+(a dot nabla)b+b cross nabla cross a+a cross nabla cross b;
(a and b are all vectors)
when I was proving it,I found it impossible to go from right side to left side. I don't know whether '(b dot nabla)a = b (nabla a)' is right or not , when proving ,I found only when it is right can I prove the equation.
Can you help me to prove '(b dot nabla)a = b (nabla a)'? Thank you very much!
(I am a freshman)