Suppose u, v, and proj,u (the projection of u onto v) are all nonzero vectors in R. Which of the following are always true? (It may help to draw some pictures.) (i) proj,u is perpendicular to v (ii) proj, u is perpendicular to u (iii) projyu has the same direction as v (iv) proj,u has the same direction as u (v) u- proj, u is perpendicular to v O A. only (i), (iv) and (v) O B. only (i) OC. only (i) and (v) O D. only (ii)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose u, v, and proj,u (the projection of u onto v) are all nonzero vectors in R. Which of the following are always true? (It may help to draw some pictures.)
(i) proj,u is perpendicular to v
(ii) projyu is perpendicular tou
(iii) projyu has the same direction as v
(iv) proj,u has the same direction as u
(v) u- proj, u is perpendicular to v
O A. only (i), (iv) and (v)
O B. only (i)
O C. only (ii) and (v)
O D. only (ii)
Transcribed Image Text:Suppose u, v, and proj,u (the projection of u onto v) are all nonzero vectors in R. Which of the following are always true? (It may help to draw some pictures.) (i) proj,u is perpendicular to v (ii) projyu is perpendicular tou (iii) projyu has the same direction as v (iv) proj,u has the same direction as u (v) u- proj, u is perpendicular to v O A. only (i), (iv) and (v) O B. only (i) O C. only (ii) and (v) O D. only (ii)
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