Given the folowing.

vec$(a)=($:$5,1,-2$:$)$

vec$(b)=($:$-4,4,0$:$).$

Find the projection of vec$(b)$ onto vec$(a).$

Endter your answer as a vector in the form $($:$v_1,v_2,v_3$:$)$ and no decimal entries allowed.

$pro{j}_{\text{v}\text{e}\text{c}(a)}$vec$(b)=$