My text as the following problem:
Let $V$ be the Euclidean space $P_3$ with the inner product defined in Example 2. Let $W$ be the subspace of $P_3$ spanned by $[t-1,t^2]$ Find a basis for $W^{\perp}$.
Inner product defined in Example 2: Let $V = P$; if $p(t)$ and $q(t)$ are polynomials in $P$, we define $\int_0^1 p(t)q(t)\,\mathrm{d}t$ as the inner product.
I am having trouble trying to figure out what I am supposed to do with this information. I assume $p(t) = t-1$ and $q(t) = t^2$ ? Then I can find the inner product by just evaluating it.