G7. if the statement is always true, circle true. if the statement is sometimes false, circle false. in each case, write a careful and clear justification or counterexample. for the following parts let ~v1, ~v2, ~v3 and ~u be defined as follows. ~v1 = [ −5 3 2 ] ~v2 = [1 0 4 ] ~v3 = [ 2 −2 0 ] ~u = [−1 3 1 ] (a) the vector ~u is in the set {~v1, ~v2, ~v3}. true false (b) the vector ~u is in the subspace spanned by {~v1, ~v2, ~v3}. true false 8. let w be the set defined below. find a set s of vectors that spans w or give an example to show that w is not a vector space. w = {[ a + 2b c + d d b − c ]: a, b, c, d are real numbers }