Let pu: R³ → U be the orthogonal projection onto the subspace U = {(x, y, z) = R³: x-y-z=0}. Consider the linear varieties 5 = {(2, 1, 2) € R³¹ : { =8=⁰}, U' = {(x, y, z) R³:a-y-z=3}. x-1=0 Determine a linear variety S'CU' whose orthogonal projection onto U is S, i.e. such that pu (S')= S.

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A: The solution is shown in step-2

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A: I have explained everything with in the solution .please go through that.

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