Consider the quadric surface described by 2x² + 6xy + 2y² + 3z² = 1. You are given that in canonical coordinates, the same surface is described by 5u² +3v²w² = 1. The principal axes are in the directions of the vectors B₁, B2 and B3. What are B₁, B2 and B3? O None of these is correct. B₁ = (17). Br - (1) 0 = 0 B₁ = ¹/2 B₁ = () " B₁ = 1 .(). 0. B2 = , B3 = √2 , B₂ = () 1 B₂=-1 B3 0 B3 = 0 (1) = 1/6 (1) 1 - + (-₁), B₁ = (9) - -1 B3 0

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