Question: Find constants (a, b, c) such that [ Phi(u, v)=(u+a v, b u+v, 2 u-c) ] parametrizes the plane (3 x-4 y+z=5). Calculate (mathbf{T}_{u}, mathbf{T}_{v}),

Find constants $a, b, c$ such that

\[
\Phi(u, v)=(u+a v, b u+v, 2 u-c)
\]

parametrizes the plane $3 x-4 y+z=5$. Calculate $\mathbf{T}_{u}, \mathbf{T}_{v}$, and $\mathbf{N}(u, v)$.

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We substitute xua v yb uv and z2 uc in the equation of the plane 3 x4 yz5 to obtain 53 x4 yz3ua v4b ... View full answer

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