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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2003 / Paper 1 / 1 / b / Solution by Codex 0 Created 2026-10-18 Updated 2026-10-20
The cross product is orthogonal to both factors. Division by the nonzero scalar preserves that perpendicularity, giving . Cyclic permutation gives the other off-diagonal pairings needed for the reciprocal basis.
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