#4. Let L be the line containing the vector 4 onto L. (use the formula: proj L (x) = (x · u) u, where u is contained in L, ||u|| = 1) x = #5. Find the reflection of about the line L in the direction of the vector 0 E (Use the formula ref ₁x = 2 (xu) u – x, where u is contained in L, ||u|| = 1) [31/25 [31/25] (A) 31/25 13/25 17/25 (B) pr[3]. Find the orthogonal projection of the vector -17/25 (C) -31/25 -17/25 (D) 17/25 (E) None of the above
#4. Let L be the line containing the vector 4 onto L. (use the formula: proj L (x) = (x · u) u, where u is contained in L, ||u|| = 1) x = #5. Find the reflection of about the line L in the direction of the vector 0 E (Use the formula ref ₁x = 2 (xu) u – x, where u is contained in L, ||u|| = 1) [31/25 [31/25] (A) 31/25 13/25 17/25 (B) pr[3]. Find the orthogonal projection of the vector -17/25 (C) -31/25 -17/25 (D) 17/25 (E) None of the above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![#4. Let L be the line containing the vector [13]. Find the orthogonal projection of the vector
-4
x =
onto L. (use the formula: proj L(x) = (x u) u, where u is contained in L, ||u|| = 1)
·3
H
about the line L in the direction of the vector 0
[4
(Use the formula ref LX = 2 (xu) u - x, where u is contained in L, ||u|| = 1)
#5. Find the reflection of
of
(A)
[31/25]
13/25 (B)
17/25
31/25
0
-17/25
(C)
-31/25
0
-17/25
(D)
31/25
0
17/25
(E) None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae343065-fe26-499c-9616-0aeaf2e46a02%2Fc5d1383f-e646-473d-b427-5e533f792df2%2Fnwv4le_processed.png&w=3840&q=75)
Transcribed Image Text:#4. Let L be the line containing the vector [13]. Find the orthogonal projection of the vector
-4
x =
onto L. (use the formula: proj L(x) = (x u) u, where u is contained in L, ||u|| = 1)
·3
H
about the line L in the direction of the vector 0
[4
(Use the formula ref LX = 2 (xu) u - x, where u is contained in L, ||u|| = 1)
#5. Find the reflection of
of
(A)
[31/25]
13/25 (B)
17/25
31/25
0
-17/25
(C)
-31/25
0
-17/25
(D)
31/25
0
17/25
(E) None of the above
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