Let u = (₁, ₂) and v = (v₁, V₂) be vectors in R². Consider an inner product in R2 defined by the formula (u, v) = 201₁ - U₁ V2 — U2V₁ + U2V2. i. Show that R²2 with the above defined inner product is a real inner product space. ii. Find the distance between vectors u = (2, 1) and v= (1,2) using the inner product defined above.

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