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Multivariable Calculus

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Calculate a Normal Vector of Given Surface, G(u,v)

MVCALC-VJX0LL

Calculate a normal vector of the surface given by $\vec{G}(u,v) = (u^2, 1 - uv, v^3)$.

A

$\vec{n} = \left\langle 2u, -v, 0 \right\rangle$

B

$\vec{n} = \left\langle 0, -u, 2v^2 \right\rangle$

C

$\vec{n} = \left\langle -2v^3, 4uv^2, -2u^2 \right\rangle$

D

$\vec{n} = \left\langle 2v^3, 4uv^2, 2u^2 \right\rangle$

E

None of the Above