Please conclude the proof of question 2 based on hints provided above (the light-green background one)

2. (3 points) Show that if u1, U2, U3 are linearly independent elements of a vector space V, then (span{u1, uz}) n (span{uj, uz}) = span{U1}. 2: span(uq,u2) = {0,47 +cqu2l C1,C2 R}, span(U1,43) ={C7'u + Cz'u3|C7',C'ER). All vectors that are in both sets must thus satisfy Cquo+C242 = C, 'un+C' uz for some C,C4,C2,C3. Concept check: Show that the only solution is C = C4', C2 = c;' = 0. Hence conclude the proof