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## Main Question or Discussion Point

Hello, I think I am fundamentally confused with summation convention. For example, if I have

[itex]

\epsilon_{ijk}x_j\delta_{jk}

[/itex]

Can I sift the levi civita and get

[itex]

\epsilon_{ijj}x_j=0

[/itex]

or sift x and get

[itex]

\epsilon_{ijk}x_k\not=0

[/itex]

Each gives a different answer. What mistake am I making here?

Thank you,

Ian

[itex]

\epsilon_{ijk}x_j\delta_{jk}

[/itex]

Can I sift the levi civita and get

[itex]

\epsilon_{ijj}x_j=0

[/itex]

or sift x and get

[itex]

\epsilon_{ijk}x_k\not=0

[/itex]

Each gives a different answer. What mistake am I making here?

Thank you,

Ian