Show that a. (delta_{i i}=3). b. (delta_{i j} epsilon_{i j k}=0) c. (epsilon_{i m n} epsilon_{j m

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Show that

a. \(\delta_{i i}=3\).

b. \(\delta_{i j} \epsilon_{i j k}=0\)

c. \(\epsilon_{i m n} \epsilon_{j m n}=2 \delta_{i j}\).

d. \(\epsilon_{i j k} \epsilon_{i j k}=6\).

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