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$\frac{a^2}{2} (t_1 - t_2)^2$
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