Question

Calcular a e b de modo que sejam colineares os pontos A(3,1,-2) B(1,5,1) C(a,b,7)

Answer 1

 Ola Caroline

A(3,1,-2) 
B(1,5,1)
C(a,b,7)

B-A = (-2, 4, 3) 

x = 3 - 2t
y = 1 + 4t
z = -2 + 3t 

x = 3-2 = 1
y = 1+4 = 5
z = -2+3 = 1

z = 7
z = -2 + 3t

-2 + 3t = 7
3t = 9
t = 3


a = 3 - 2t = -3
b = 1 + 4t = 1 - 12 = -11

vetor C(-3, -11,7) 

os vetores A,B,C são colineares



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