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# Let W be the subspace spanned by u 1 and u 2 . Write y as the sum of a vector in W and a vector orthogonal to W.

Let W be the subspace spanned by u1 and u2. Write y as the sum of a vector in W and a vector orthogonal to W.

Y= [-3] , u1= [1], u2=[-4]

[6] [1] [5]

[5] [1] [-1]

The sum is y=y+z, where y= [ ] is in W and z=[ ] is orthogonal to W. (simplify your answers.)