Question: The scalar product between two functions in a vector space V is given by =int _0^1:f(x)g(x)dx Let v= {f1, f2, f3} such that f1(x)=1, f2(x)=x,

The scalar product between two functions in a vector space V is given by =\int _0^1\:f(x)g(x)dx

Let v= {f1, f2, f3} such that f1(x)=1, f2(x)=x, f3(x)=x^2. Find an orthonormal basis of V.

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