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1.Representar graficamente: (i) os pontos: A(1,3,2),B(0,1,0) e C(2,0,1) (ii) a reta definida pelos pontos AeB

Pergunta

1.Representar graficamente:
(i) os pontos: A(1,3,2),B(0,1,0) e C(2,0,1)
(ii) a reta definida pelos pontos AeB

1.Representar graficamente: (i) os pontos: A(1,3,2),B(0,1,0) e C(2,0,1) (ii) a reta definida pelos pontos AeB

Solução

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Gabriela MariaMestre · Tutor por 5 anos

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Para representar graficamente os pontos \( A(1,3,2) \), \( B(0,1,0) \) e \( C(2,0,1) \) em um espaço tridimensional, podemos usar um sistema de coordenadas cartesianas com três eixos: \( x \), \( y \) e \( z \). Cada ponto é representado por uma coordenada \((x, y, z)\).<br /><br />1. **Ponto \( A(1,3,2) \)**:<br /> - \( x = 1 \)<br /> - \( y = 3 \)<br /> - \( z = 2 \)<br /><br />2. **Ponto \( B(0,1,0) \)**:<br /> - \( x = 0 \)<br /> - \( y = 1 \)<br /> - \( z = 0 \)<br /><br />3. **Ponto \( C(2,0,1) \)**:<br /> - \( x = 2 \)<br /> - \( y = 0 \)<br /> - \( z = 1 \)<br /><br />Para representar a reta definida pelos pontos \( A \) e \( B \), podemos desenhar uma linha reta que passa por ambos os pontos. Esta linha será uma parte da reta no espaço tridimensional que conecta \( A \) e \( B \).<br /><br />Aqui está uma representação textual simplificada:<br /><br />```<br />Eixo z<br />^<br />|<br />| C(2,0,1)<br />| *<br />| *<br />| *<br />| *<br />| *<br />| *<br />| *<br />|*<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br />|_________________________________________<br 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