Problem 3. (10 points) Find a vector that is perpendicular to the plane through the points A-(-3,4,3), B-(-3,-2,1), and
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Problem 3. (10 points) Find a vector that is perpendicular to the plane through the points A-(-3,4,3), B-(-3,-2,1), and
Problem 1. (5 points) Solve for the unknowns in the vector equation below. ---B a= b Note: You can earn partial credit on this problem. Problem 2. (5 points) Calculate the cross product assuming that uxw-(-3, 3, 5) (-2u+2w) x w-( Note: You can earn partial credit on this problem.
Find bases for the column space, the row space, and the null space of the matrix [1 4 -1 1 A= 2 11 1 5 4 22 2 10 You should verify that the Rank-Nullity Theorem holds Basis for the column space of A= Basis for the row space of A- {[ Basis for the null space of A 2 4 Note You can earn partial credt on this problem 81 11 22 H