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Find the orthogonal projection of ✓ = projw(u) = 61 90 904 45 281 30 52 45 8-60 onto the subspace W spanned by 2 23

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 60CR: Find the projection of the vector v=[102]T onto the subspace S=span{[011],[011]}.

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Question

Numbers in v projected onto w vectors are incorrect, so I'm trying to double check my process and identify where I may have made an error in transcription or arithmetic. Please ensure handwriting is legible if using that route.

Find the orthogonal projection of ✓ =
projw(v) =
61
90
904
45
281
30
82
45
2
23
-11
onto the subspace W spanned by
2
3

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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