(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

y=[4 8 1]^T u_1 = [2/3 1/3 2/3]^T u_2=[-2/3 2/3 1/3]^T

Part 1: Write y as the sum of a vector y hat in W and a vector z in W complement

Part 2: Describe the geometric relationship between the plane W in R^3 and the vectors y hat and z from the part above.

2. Relevant equations

3. The attempt at a solution

I got the first part I think.

y = [2 4 5]^T + [2 4 -4]^T

Part 2 is what i'm struggling with. I don't understand the relationship so I don't really know how to describe it. Can someone please help?

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# Homework Help: Linear algebra geometry of orthogonal decomposition

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