Solving vector equations.

Question

If I'm given any two non collinear vectors $c$ and $b$ and any other vector $a$, then what is the equivalent of $(a\cdot b)b + (a\cdot c)c +[a\cdot(b×c)](b×c)/|b×c|^2$
The options given are: $a$ vector, $b$ vector, $c$ vector or none of these.