#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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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#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
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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