In general, what can be said about the vector product $x \times (x \times y)$?

A. the result is orthogonal to $x$
B. the result is orthogonal to $y$
C. the result is orthogonal to $x$ and $y$
D. the result is parallel to $x$
E. the result is parallel to $y$
F. the result is not parallel to $x$ or to $y$