試題詳解

5.Let E ={V₁,V₂, V₃} be a basis for a three-dimensional subspace S of an inner product space V. Define. Suppose E is an orthogonal set with Let x = 5V₁ + 1V₂ -3V₃ and y = 1V₁- 3V₂ - 2V₃. Let p be the orthogonal projection of x onto y, and suppose p = cy, where o is a scalar. Which of the following statements are true?
(A) (x,y) = 7
(B) (x,y) =8
(C) a = 7/33
(D)a = 8/14
(E) IIx||= 62