Question

Se os pontos A(a, 2), B(b, 2) e C(3, 0) estão alinhados, o valor de 3a - 2b é: *
1 ponto
A) 5
B) 3
C) -3
D) -5
E) Nenhuma das respostas anteriores

Answer 1

$\large\boxed{\begin{array}{l}\begin{vmatrix}\rm a&\rm2&\rm1\\\rm b&\rm2&\rm1\\\rm3&\rm0&\rm1\end{vmatrix}=0\\\rm a\cdot(2)-2\cdot(b-3)+1\cdot(-6)=0\\\rm 2a-2b+\backslash\!\!\!6-\backslash\!\!\!6=0\\\rm 2a-2b=0\\\huge\boxed{\boxed{\boxed{\boxed{\rm\dagger\red{\maltese}~\blue{alternativa~E}}}}}\end{array}}$