Question

verifique se os pontos A(0,1), B(12,4) e C(6, 3 sobre 2 farmam um triangulo no plano?

Answer 1

$\frac{1}{2} \left|\begin{array}{cccc}0&12&6&0\\1&4& \frac{3}{2&1} \\\end{array}\right| = \frac{1}{2} |0+18+6-12-24-0|= \\ \frac{1}{2} |-12|= \frac{1}{2} .12=6$
Sim. Formam um triângulo