Determine the vector(s) whose vector projection on $u = \langle1,2,2\rangle$, is $v =\langle 3,6,6 \rangle$ and its scalar projection on $w =\langle1,1,1\rangle$ is $√3.$
I am really stuck on this question. The only thing I know is to start off with the unknown vector to be $\langle a,b,c\rangle$. Any help would be appreciated. Thanks!