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Questões resolvidas

Analise as equações matriciais a seguir.

egin{aligned}
& {\left[\begin{array}{l}\n x \\ y \\ z\n\end{array}\right]_{W G S 84}=\left[\begin{array}{l}\n x \\ y \\ z\n\end{array}\right]_{z A D 69}+\left[\begin{array}{l}\n -66,87 \\ 4,37 \\ -38,52\n\end{array}\right]}\
& {\left[\begin{array}{l}\n x \\ y \\ z\n\end{array}\right]_{S I R G A S 2000}=\left[\begin{array}{l}\n x \\ y \\ z\n\end{array}\right]_{z A D 69}+\left[\begin{array}{l}\n -67,35 \\ 3,88 \\ -38,22\n\end{array}\right]}\
\end{aligned}

As equações apresentadas acima representam, respectivamente, as coordenadas cartesianas no sistema de Referência WGS-84 e SIRGAS2000, em função das coordenadas cartesianas no sistema de Referência SAD-69. Assinale a opção que apresenta a equação matricial que expressa as coordenadas cartesianas em SIRGAS2000, em função das coordenadas cartesianas em WGS-84.
A) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}-\left[\begin{array}{r}-0,48 \\ -0,49 \\ 0,30\end{array}\right]
B) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}+\left[\begin{array}{r}-0,48 \\ 0,49 \\ 0,30\end{array}\right]
C) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}+\left[\begin{array}{r}-0,48 \\ -0,49 \\ -0,30\end{array}\right]
D) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}+\left[\begin{array}{r}-0,48 \\ -0,49 \\ 0,30\end{array}\right]
E) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}-\left[\begin{array}{l}0,48 \\ 0,49 \\ 0,30\end{array}\right]

Material
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Questões resolvidas

Analise as equações matriciais a seguir.

egin{aligned}
& {\left[\begin{array}{l}\n x \\ y \\ z\n\end{array}\right]_{W G S 84}=\left[\begin{array}{l}\n x \\ y \\ z\n\end{array}\right]_{z A D 69}+\left[\begin{array}{l}\n -66,87 \\ 4,37 \\ -38,52\n\end{array}\right]}\
& {\left[\begin{array}{l}\n x \\ y \\ z\n\end{array}\right]_{S I R G A S 2000}=\left[\begin{array}{l}\n x \\ y \\ z\n\end{array}\right]_{z A D 69}+\left[\begin{array}{l}\n -67,35 \\ 3,88 \\ -38,22\n\end{array}\right]}\
\end{aligned}

As equações apresentadas acima representam, respectivamente, as coordenadas cartesianas no sistema de Referência WGS-84 e SIRGAS2000, em função das coordenadas cartesianas no sistema de Referência SAD-69. Assinale a opção que apresenta a equação matricial que expressa as coordenadas cartesianas em SIRGAS2000, em função das coordenadas cartesianas em WGS-84.
A) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}-\left[\begin{array}{r}-0,48 \\ -0,49 \\ 0,30\end{array}\right]
B) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}+\left[\begin{array}{r}-0,48 \\ 0,49 \\ 0,30\end{array}\right]
C) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}+\left[\begin{array}{r}-0,48 \\ -0,49 \\ -0,30\end{array}\right]
D) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}+\left[\begin{array}{r}-0,48 \\ -0,49 \\ 0,30\end{array}\right]
E) \left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{\text {SIRGAS2000 }}=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]_{W G 084}-\left[\begin{array}{l}0,48 \\ 0,49 \\ 0,30\end{array}\right]

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