Suppose r(u, v), for (u, v) ∈ D, parameterizes the surface S. What is the relationship between dS, an infinitesimal part of S, and dA, an infinitesimal part of the uv-plane?Single choice

A

dS = |r_u(u, v) · r_v(u, v)| dA

B

dS = ||r_u(u, v) × r_v(u, v)|| dA.

C

The two are unrelated

D

dA = ||r_u(u, v) × r_v(u, v)|| dS

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