Let vec$($a$)=($:$3,9,10$:$)$ and vec$($b$)=($:$-10,2,1$:$).$

Compute the projection of vec$($a$)$ onto vec$($b$)$ and the vector component of vec$($a$)$ orthogonal to vec$($b$).$

proj$\_($vec$($b$))$vec$($a$)=$

Orthogonal component $=$