Past exam of the mathematics course of the University of Cambridge / 2024 / ib / Paper 1 / 11E / ii / Solution Created 2026-09-24 Updated 2026-09-25
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Tangency along means
(1)
for every . Consequently is perpendicular to the first tangent plane exactly when it is perpendicular to the second. The ambient characterization of a geodesic therefore proves the tangency invariance of an ambient-surface geodesic:
(2)
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