Problem 11 - Consider R³ and the plane P passing through points (0,0,0), (1, 1, 2), (1,2,2). Recall that P is a subspace

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Problem 11 Consider R And The Plane P Passing Through Points 0 0 0 1 1 2 1 2 2 Recall That P Is A Subspace 1 (20.88 KiB) Viewed 56 times

Problem 11 - Consider R³ and the plane P passing through points (0,0,0), (1, 1, 2), (1,2,2). Recall that P is a subspace of R³. A. Give a basis for P. B. Represent P in the form {plp-w=c}. C. The intersection of P with the plane z-y + 2z = 4 is a line. Characterize this line in the parameterized form {p + t. ut € R}. D. Find the point on the line in part C that is closest to the point (2,3,1).