By given equation, finding orthogonal projection Find the orthogonal projection of line with direction vector $u = ( 1 , 2 , 0 )$ onto the plane
described by equation $-3x - 2y + 2z = -2$
i have tried to search orthogonal projection of line onto the plane but couldn't find an example with plane equation, but matrix or $(a,b,c)$  if it were give by matrix i think i can find but this 'equation' makes me confusing.  any plane equation and direction vector example? Thanks

The plane has normal vector $n=(-3, - 2 , 2)$. You first find the projection of $u$ on $n$, then use $u$ minus it to get the direction of the projection line on the plane.
