Question: Question 3 (20 marks) a. Let u = (u1, u2) and v = (v1, 12) be vectors in R2. Consider an inner product in R2

Question 3 (20 marks) a. Let u = (u1, u2) and v = (v1, 12) be vectors in R2. Consider an inner product in R2 defined by the formula (u, v) = 2u101 - U1v2 - U2v1 + U202. i. Show that R2 with the above defined inner product is a real inner product space. (8 marks) ii. Find the distance between vectors u = (1,2) and v = (1, -1) using the inner product defined above. (2 marks)

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