試題詳解

23. (3%) Which of the following statements is true?
(A) Let S be a subset of a vector space. Then S =
(B) Let V be a subset of Rⁿ, and if V is orthogonal to W, then is orthogonal to.
(C) If u and v are vectors in Rⁿ, and if distance from u to v equals the distance from u to -v, then and v are orthogonal.
(D) If u, v and w are vectors in Rⁿ, and if u is orthogonal to v +w, then u is orthogonal to v and w.