#4. Let L be the line containing the vector Q or[3]. Find the orthogonal projection of the vector -31 x = onto L. (use the formula: proj L (x) = = (xu) u, where u is contained in L, ||u|| = 1)
#4. Let L be the line containing the vector Q or[3]. Find the orthogonal projection of the vector -31 x = onto L. (use the formula: proj L (x) = = (xu) u, where u is contained in L, ||u|| = 1)
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 [3]. Find the orthogonal projection of the vector
1
-4
1)
onto L. (use the formula: proj L(x) = (x ⋅ u) u, where u is contained in L, ||u||
x =
-31
√[2³].
L4
(Use the formula ref LX = 2 (xu) u x, where u is contained in L, ||u|| = 1)
#5. Find the reflection of
(A)
31/25
13/25
17/25
(B)
H
about the line L in the direction of the vector
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%2F58689fa0-b30c-424e-bdca-d3d9502d802b%2Fb4a6750d-83d2-4c8e-ae13-1d6d0fdba277%2Fk03yof_processed.jpeg&w=3840&q=75)
Transcribed Image Text:#4. Let L be the line containing the vector [3]. Find the orthogonal projection of the vector
1
-4
1)
onto L. (use the formula: proj L(x) = (x ⋅ u) u, where u is contained in L, ||u||
x =
-31
√[2³].
L4
(Use the formula ref LX = 2 (xu) u x, where u is contained in L, ||u|| = 1)
#5. Find the reflection of
(A)
31/25
13/25
17/25
(B)
H
about the line L in the direction of the vector
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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