VERIFICAR SE SÃO COLINEARES OS PONTOS: como se faz?
VERIFICAR SE SÃO COLINEARES OS PONTOS:
A) a(-1,-5, 0), b (2,1,3) e c(-2,-7,-1)
B) a(2,1,-1), b (3,-1,0) E c(1,0,4)
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VERIFICAR SE SÃO COLINEARES OS PONTOS:
A) a(-1,-5, 0), b (2,1,3) e c(-2,-7,-1)
B) a(2,1,-1), b (3,-1,0) E c(1,0,4)
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a) A(-1,-5, 0), B (2,1,3), C(-2,-7,-1)
AB = ( 2+1, 1+5, 3-0) = (3,6,3)
AC = (-2+1, -7+5, -1-0) = (-1,- 2,-1)
Rang([(3,6,3),(-1,-2,-1)]) = 1 e os pontos são colineares
b) A(2,1,-1), B (3,-1,0), C(1,0,4)
AB = ( 3-2, -1-1, 0-1) = (1,-2,-1)
AC = (1-2, 0-1, 4+1) = (-1 -1, 5)
e como det
[ 1 -2]
[-1 -1] = -3,
rang([(1, -2, -1),(-1,-1, 5)] = 2
e os pontos não são colineares