Question: there's this point v = (2,5,-1) that is not on the subspace W. W is given by
{(x,x,y) ; x,y∈R}.
Determine the shortest distance from any point on W to the point v.
My approach is to first use the gram-schmidt formula to find w', the projection of v onto w. And then calculate the distance between w' and v. (using the distance formula)
It would be helpful to know if I'm on the right track.