Consider the vectors $f$ and $g$ with the given inner product.\\
$f(x) = 3x^3$, $g(x) = 4x^4$, $(f, g) = \int_{-1}^{1} f(x)g(x) dx$\
Find the lengths of $f$ and $g$ and their inner product.\
$||f|| = $\\
$||g|| = $\\
$(f, g) = $\\
Let $\theta$ be the angle between the vectors. Find $cos(\theta)$.\
$cos(\theta) = $\\
Find the angle $\theta$ between the vectors.\
$f(x) = 3x^3$, $g(x) = 4x^4$, $(f, g) = \int_{-1}^{1} f(x)g(x) dx$\
$\theta = $ radians
