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In: Advanced Math

Vector v=(9,0,2) is vector from R3 space. Consider standard inner product in R3. Let W be...

Vector v=(9,0,2) is vector from R3 space. Consider standard inner product in R3. Let W be a subspace in R3 span by u = (9,2,0) and w=(9/2,0,2).

a) Does V belong to W? show explanation

b) find orthonormal basis in W. Show work

c) find projection of v onto W( he best approximation of v with elements of w)

d) find the distance between projection and vector v

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