Vector

Scalar definition

A scalar is a mathematical object with only magnitude.

Vector definition

A vector is a mathematical object with magnitude and direction.

On the $\mathit{n}$-dimensional Euclidean space $\mathbb{R}^n$, the intuitive notion of length of the vector is defined by

$\mathbf{\mathit{\boldsymbol{x}}}=[x_{1},x_{2},…,x_{n}]^T$.