Question: Question 3: Consider the following vector subspace: H = (x, y,z) (R3 : x - 2y + 3z =0 a - Calculate the norm (or

Question 3: Consider the following vector subspace: H = (x, y,z) (R3 : x - 2y + 3z =0 a - Calculate the norm (or length) of the vectors u = (1, 2, 1) and V = (-1, 1, 1). (1.5 points) b - Show that the vectors u' and V form a basis of H and find the dimension of H. (2.5 points) C - Is H a hyperplane of R3? (1 point)

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