Find the area of the triangle formed by the points $(at_1^2, 2at_1)$,$(at_2^2, 2at_2)$,and $(at_3^2, 2at_3)$.

• A
  $a^2 (t_1 - t_2) (t_2 - t_3) (t_3 - t_1)$
• B
  $a^2 (t_1 - t_2)^2$
• C
  $\frac{a^2}{2} |(t_1 - t_2) (t_2 - t_3) (t_3 - t_1)|$
• D
  $\frac{a^2}{2} (t_1 - t_2)^2$