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(a) to be complicated!). Find a nonzero vector that is orthogonal to u (hint: your vector does not need (b) Find ||u||. (c) Find a unit vector in the direction of u. (d) (The oxtra crodit nart) Find the vector component of u along a. (1 1 0)

(a) to be complicated!). Find a nonzero vector that is orthogonal to u (hint: your vector does not need (b) Find ||u||. (c) Find a unit vector in the direction of u. (d) (The oxtra crodit nart) Find the vector component of u along a. (1 1 0)

Advanced Engineering Mathematics
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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2. Let u = (1,0, 1, 0, 1). (a) to be complicated!). Find a nonzero vector that is orthogonal to u (hint: your vector does not need (b) Find ||u||. (c) Find a unit vector in the direction of u. (The extra credit part) Find the vector component ofu along a = (1, –1,2, –1,0) (d) (that is, find proj, u) and the vector component of u orthogonal to a. %3D
Transcribed Image Text:2. Let u = (1,0, 1, 0, 1). (a) to be complicated!). Find a nonzero vector that is orthogonal to u (hint: your vector does not need (b) Find ||u||. (c) Find a unit vector in the direction of u. (The extra credit part) Find the vector component ofu along a = (1, –1,2, –1,0) (d) (that is, find proj, u) and the vector component of u orthogonal to a. %3D
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