Given the vectors $a = (1, 2, 3)$ and $b = (1, -1, 2)$, what is the product $(a \cdot b) \times a$?

A. $4$
B. $5$
C. $14$
D. $(7, 1, -3)$
E. $(-7, -1, 3)$
F. $(7, -1, -3)$
G. $(1, -2, 6)$
H. $(5, -5, 10)$
I. does not exist