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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2013 / Paper 2 / 12 / a / iii / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge 2013 Paper 2 12 a iii
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In three dimensions each contracted delta is the trace of the identity, δjj​=δkk​=3. Thus the exponent is six and the base is a⋅a. Hence
(ai​ai​)δjj​+δkk​=(a⋅a)6=∣a∣12​.
(1)

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