I. If u, v and w are linearly independent then show that the set {u+v,u+w,v+w} is linearly independent set of vectors If a, b and c are distinct elements the show that II. {(1,1,1),(a,b,c).(a, b, c)} forms basis for R III. p(x)=x-x+2x+3 q(x)=3x+x-x-1 r(x)=x+2x+2 s(x)=7x+ax+5 For what value of a' the set {p.q, r,s} is linearly dependent