Question: Question 1: If u = and w (a) Calculate u x v (b) Calculate (2w + v) x (v - u) (c) What is the

Question 1: If u = and w (a) Calculate u x v (b)
Question 1: If u = and w (a) Calculate u x v (b) Calculate (2w + v) x (v - u) (c) What is the volume of the parallelepiped determined by the three vectors u, v and w? Question 2 Find the line of intersection of the two planes x + 2y - z = 1 and 2x - y - 2 = -1 given that (1, 1, 2) is a point on this line. Question 3: Explain why the following sets are not subspaces of R3 (show one of the three properties of subspaces fail) (a) S = ce : x, y in R ( b) S = y : xyz = 0, x, y, z in R Question 4: Find the null space of A 1 2 1 -12 2 4 1 1 and write it as a span

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