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phymatast
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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 is a 1-form.
I am not sure how to compute the 2 form though.
I was able to find dPsi:
dPsi = d(z)^dx +d(-xy)^dy (^== wedge product)
= -ydxdy -dxdz
Now I have looked it up in the Internet. The only thing I found was dPsi of two vector fields. But here I just have 2 vectors.
I am a bit lost.
Any hints?
Thanks