Question: Please show step by step b. i. Find a homogeneous linear system of two equations in three unknowns whose solution space consists of those vectors

Please show step by step

b. i. Find a homogeneous linear system of two equations in three unknowns whose solution space consists of those vectors in IR3 that are orthogonal to a = (-3, 2, -1) and b = (0, -2, -2). ii. What kind of geometric object is the solution space? iii. Find a general solution of the system obtained in part i., and confirm that Theorem 3.4.3 of the textbook holds

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