- #1
MaxManus
- 277
- 1
Homework Statement
Show that v[tex]\nabla[/tex]v = [tex]\nabla[/tex]xvxv
v · ∇v = ∇(0.5v2 + c × v
c=∇ × v
My attempt
∇(A · B)= B · ∇A + A · ∇B + B×(∇×A) + A×(∇×B)
Replace A and B with V
∇(v · v)= v · ∇v + v · ∇v + v×(∇×v) + v×(∇×v)
v · ∇v = ∇(0.5v2 - v×(∇×v)
Is v×(∇×v) = =∇ × v × v?
And am I on the right track?
I can't fint such a rule in my textbook