Let u, v, w be vectors in R³. Which of the following statements are True? If u wand v1 w, then (u+v) Lw u vxw=uxv.w DIf u Ivand vw, then u Lw □ (ux v) 1 (u+ v) Consider the set S of all 5-tuples of positive real numbers, with usual addition and scalar multiplication. Which of the following vector space properties are NOT satisfied? u+v is in S whenever u, v are in S. For every u in S, there is a negative object-u in S, such that u +-u=0 Ou+v=v+u for any u, v in S. + ku is in S for any scalar k and any u in S. There is a zero object 0 in S. such that u + 0 = u