- #1

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"It is straightforward to show that the coordinate and dual basis vectors

themselves are related...

"e

_{a}= g

_{ab}e

^{b}...."

I have been trying to prove it as follows:

e

_{a}.e

_{b}=g

_{ab}=g

_{af}[itex]\delta[/itex]

^{f}

_{b}

=g

_{af}(e

^{f}.e

_{b})

(e

_{a}-g

_{af}e

^{f}).e

_{b}=0

Because e

_{b}≠0, the other side is and hence proved the given statement.

My question: is it a correct approach?