michaeltrang33Mike
michaeltrang33Mike michaeltrang33Mike
  • 25-10-2016
  • Mathematics
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Sin gráficas, determinar si A (5,1) B (1,0) C (3,3) se encuentran en la misma línea. Explique su razonamiento.

Respuesta :

mozarth11
mozarth11 mozarth11
  • 26-10-2016
Por determinante:
5...1...1
1...0...1 = 0 --> se o determinante for igual a 0, os pontos estarão alinhados.
3...3...1

calculando: (5 x 0 x 1 + 1 x 1 x 3 + 1 x 3 x 1) - (1 x 0 x 3 + 1 x 1 x 1 + 3 x 1 x 5) = 
0 + 3 + 3 - 0 - 1 - 15 = 
6 - 1 - 15 = 
5 - 15 = - 10 --> como não deu zero, os pontos não estão alinhados.
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