Consider the following collection of vectors in R³ 1 6 V1 = 3 4 3 9 V2 8 V3 2 3 6 i. Show that {V₁, V2, V3} forms a basis for R³. ii. Consider the dot product in R³ defined by (v, w) = v¹w for all v, w € R³. Use the Gram-Schmidt procedure to transform vectors V₁, V2 and v3 into an orthonormal basis for R³.

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