Let A, B and C be mutually orthogonal functions. If so, would the following equation hold true? Is there a theorem proving this?
$\int_a^{b}ABCdx = 0$
2026-03-24 22:15:45.1774390545
If three functions A, B and C are mutually orthogonal, is the inner product of all three functions equal to zero?
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Nope. Using Legendre polynomials, $$ \int_{-1}^{1} P_1(x)P_2(x)P_3(x)\,dx = \frac{6}{35} \neq 0. $$