I want to project a vector from R3 onto a subspace.(adsbygoogle = window.adsbygoogle || []).push({});

I'll let the bases for the subspace be [a,b,c]T

(my T's mean transpose)

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I have the defintion for vector projection

p = (<u,v>/<v,v>)*v

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I know v will be the [a,b,c]T vector but what is u?

The only thing I could think of is let it be the triplet [x,y,z]T which could be any vector in R3.

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Using this I get

p = [(a/(a^2 + b^2 + c^2))(ax + by + cz)]

[(b/(a^2 + b^2 + c^2))(ax + by + cz)]

[(c/(a^2 + b^2 + c^2))(ax + by + cz)]

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I'm not very confident with this solution, I was hoping someone could tell me if this is correct or show me where I've gone wrong.

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# Homework Help: Projecting vectors from R3 onto a subspace

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