#4. Let L be the line containing the vector [3]. Find the orthogonal projection of the vector1-41)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)31/2513/2517/25(B)Habout the line L in the direction of the vector31/250-17/25-(C)-31/250-17/25(D)31/25017/25(E) None of the above

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Answered: #4. Let L be the line containing the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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#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)