The question is:

The equations used in the process are hereApply the Gram-Schmidt orthogonalization procedure to the R-basis \(\displaystyle \{{1, x, x^2, x^3}\}\) to obtain an orthonormal basis for \(\displaystyle P_3(R)\) where the inner product is defined by

\(\displaystyle \int_{-1}^{1} (1-x^2)f(x)g(x) \, dx\)

I dont need the working out, I just want to know the final answers for \(\displaystyle v_1\), \(\displaystyle v_2\) and \(\displaystyle v_3\). Thank you!