Question: QUESTION 4 Consider a hyperbolic paraboloid embedded in Euclidean space. The surface can be parametrized by 9: (a, 1:) = u y (u, 1:) =

QUESTION 4 Consider a hyperbolic paraboloid embedded in Euclidean space. The

QUESTION 4 Consider a hyperbolic paraboloid embedded in Euclidean space. The surface can be parametrized by 9: (a, 1:) = u y (u, 1:) = v z (u, 1:) = are. a] Find the line element of the surface. (7] 13) Let 5:."1 = u and 1:2 = \"o. What is the metric tensor and the dual metric tensor? Explain how you determine these. (5]

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