In geometry, a vector ##\vec{X}## in n-dimensions is something like this
$$
\vec{X} = \left( x_1, x_2, \cdots, x_n\right)$$
And it follows its own laws of arithmetic.
In Linear Analysis, a polynomial ##p(x) = \sum_{I=1}^{n}a_n x^n ##, is a vector, along with all other mathematical objects of...