Question: 4. (a) Check, from first principles, that the great circle through the points (0,0, 1) and (1, 1, 1) on the unit sphere centred

4. (a) Check, from first principles, that the great circle through the

4. (a) Check, from first principles, that the great circle through the points (0,0, 1) and (1, 1, 1) on the unit sphere centred at the origin of R is a geodesic. [Hint: First parameterize it using an appropriate combination of trigono- metric functions. Then calculate the second derivative.]

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