Given a set $S$ of vectors in $R^3,S=\{v_1,v_2,v_3\}$ with $v_1=(+1,-\sqrt[\phantom{2}]{2},+1),v_2=(+1,\sqrt[\phantom{2}]{2},+1),v_3=(2,0,1)$ and $u=(+2,\sqrt[\phantom{2}]{2},-1)$ Using the dot product definition, which of the following statements are true? $($check all that apply$)$ Projection of $v_2$ on $u,pro{j}_u(v_2)=(\frac{3}{7})(+2,\sqrt[\phantom{2}]{2},-1)$ vector$(v_2-pro{j}_u(v_2))$ is orthogonal to $ud(v_2,u)$