Question

Verifique se os pontos A(1, 3) , B(0, 2) e C(3, 5) são colineares.​

Answer 1

$\left[\begin{array}{ccc}x&y&1\\x'&y'&1\\x''&y''&1\end{array}\right] =0$

se o determinante da matriz for 0, são colineares

$\left[\begin{array}{ccc}1&3&1\\0&2&1\\3&5&1\end{array}\right] = 2+9-6-5 = 0$

então esses pontos são colineares.