I have actually also found this formula on wikipedia:
(A^B)(v,w)p = A(vp)B(wp) -A(wp)B(vp)
So I tried to rewrite my two form as a wedge of two 1-forms:
A = dx
B= -ydy -dz
Finally i applied the formula and I got
A(vp)=1
B(wp)=1
A(wp)=-2
B(vp)=4
And
dPsi(v,w) = (A^B)(v,w) = 9
I am not sure...
Homework Statement
I am given a one form Psi = zdx -xydy and two vectors v(1,1,-2) and w(-2,1,1) both tangent vectors of R3 at point P(2,-1,0).
I am asked to find dPsi(v,w).
Homework Equations
Lie bracket?
The Attempt at a Solution
I know how to computer Psi(v) at p but this...
it's 3/5 and not -3/5 and this will give you your answer using basic properties of logarithmic functions.
hint: after you get 5^x = 3/5
take log base 5 on both sides