A city is described parametrically by the equation $$\vec r=(a \vec i + b \vec j + c \vec k)+s\vec{v_1}+t\vec{v_2}$$ where $$\vec{v}_1=5\,\mathit{\vec i}-3\,\mathit{\vec j}-3\,\mathit{\vec k}$$ and $$\vec{v}_2=-3\,\mathit{\vec i}+5\,\mathit{\vec j}-10\,\mathit{\vec k}.$$ A city block is a rectangle determined by $\vec{v}_1$ and $\vec{v}_2$. East is in the direction of $\vec{v}_1$ and north is in the direction of $\vec{v}_2$. Starting at the point $(a,b,c)$ , you walk $4$ blocks east, $5$ blocks north, $3$ blocks west and $3$ blocks south.

(a) What are the parameters of the point where you end up?
$s =$
$t =$

(b) What are the coordinates at that point?
$x =$
$y =$
$z =$