If $(x\_1,x\_2,x\_3)\times (1,3,1)=(2,1,6)$ then find $ (x\_1,x\_2,x\_3).$ Here $\times$ denotes the vector product.

The choices of answer are:

$A)(0,0,1)$

$B)(-1,2,7)$

$C)(-m,0,1-m)$ for all real $m$

$D)$There does not exist any expression $(x\_1,x\_2,x\_4)$ in $\mathbb R^3.$