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Let u, v, and w be vectors in RP. Which of the following statements are always true? 0. (i) If u and v are orthogonal then proj,u = (ii) If w = projyu then w (iii) If u and v are parallel then projyu = v. – u is orthogonal to v %3D ) none of them (B) (i) only (C) (ii) and (iii) only (D) all of them (E) (iii) only (F) (1) only =) (i) and (ii) only (H) (i) and (iii) only

Let u, v, and w be vectors in RP. Which of the following statements are always true? 0. (i) If u and v are orthogonal then proj,u = (ii) If w = projyu then w (iii) If u and v are parallel then projyu = v. – u is orthogonal to v %3D ) none of them (B) (i) only (C) (ii) and (iii) only (D) all of them (E) (iii) only (F) (1) only =) (i) and (ii) only (H) (i) and (iii) only

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 52EQ
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Let u, v, and w be vectors in R. Which of the following statements are always true? (i) If u and v are orthogonal then proju = 0. (ii) If w (iii) If u and v are parallel then projyu = v. projyu then w – u is orthogonal to v %3D (A) none of them (B) () only (C) (ii) and (iii) only (D) all of them (E) (i1) only (F) (i) only (G) (1) and (ii) only (H) (i) and (iii) only
Transcribed Image Text:Let u, v, and w be vectors in R. Which of the following statements are always true? (i) If u and v are orthogonal then proju = 0. (ii) If w (iii) If u and v are parallel then projyu = v. projyu then w – u is orthogonal to v %3D (A) none of them (B) () only (C) (ii) and (iii) only (D) all of them (E) (i1) only (F) (i) only (G) (1) and (ii) only (H) (i) and (iii) only
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