I have an orthonormal basis for the subspace defined by a plane which is [[2/sqrt(5),1/sqrt(5),0],[2/(3*sqrt(5)),-4/(3*sqrt(5)),sqrt(5)/3]] but i need to find a formula for the orthogonal projection onto the plane how would i do this?. I know that the orthogonal projection of a vector is given by (u dot v1)v1+...(u dotvr)vr. How would i find my formula for the plane?

Thanks