Question: Find vectors x and y in R2 that are orthonormal with respect to the inner product (u, v) = 3u1v1 + 2u2v2 but are not

Find vectors x and y in R2 that are orthonormal with respect to the inner product (u, v) = 3u1v1 + 2u2v2 but are not orthonormal with respect to the Euclidean inner product.

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