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
Posted: Sun Jul 10, 2022 10:52 am
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).