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Let p(x) = a0 + a1x + a2x2 and q(x) = b0 + b1x + b2x2...

Let p(x) = a0 + a1x + a2x2 and q(x) = b0 + b1x + b2x2 be vectors in P2 with p, q = a0b0 + a1b1 + a2b2. Determine whether the given second-degree polynomials form an orthonormal set, and if not, then apply the Gram-Schmidt orthonormalization process to form an orthonormal set. (If the set is orthonormal, enter ORTHONORMAL in both answer blanks.)

{ square root 3 (x2−1), square root 3 (x2 + x + 2)}

u1 =

u2 =

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