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I am struggling to see how the relation:

[itex](df:U)(dh:V)-(dh:V)(df:V)[/itex] (1)

can be rewritten as:

[itex]U(fdh:v)-V(fdh:U)-fdh:[U,V][/itex] (2)

I have tried expanding (1) out by making a scalar vector product of Udh:V but i don't think that is right and i am just not sure how best to proceed. It was annoyingly skipped over in class today, any help or suggestions would be appreciated.

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# Differentisl geometry internal contraction

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