Letu= (1,0,1,0,1) (A) Find a nonzero vector that is orthogonal to u(hint: your vector does not needto be complicated!). (B) Find‖u‖ (C) Find a unit vector in the direction ofu .(d) Find the vector component of u along a= (1,−1,2,−1,0)(that is,find projau) and the vector component of u orthogonal to a

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
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Letu= (1,0,1,0,1)

(A) Find a nonzero vector that is orthogonal to u(hint: your vector does not needto be complicated!).

(B) Find‖u‖

(C) Find a unit vector in the direction ofu

.(d) Find the vector component of u along a= (1,−1,2,−1,0)(that is,find projau) and the vector component of u orthogonal to a

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