Excuse me ... .

I have a question about scalar quantity ... .

Can a scalar be regarded as a one-dimensional vector ... ?

For example, the continuum electric charge is a scalar quantity which can be regarded to have two directions in real line , namely, the positive direction () and the negative direction () ... .

In Lagrangian Mechanics, an electrical system can be analogized as a mechanical system, with the electric charge as a generalized co-ordinate, and as a generalized velocity ... .

Suppose that here is an electrical circuit which consists of an inductor of inductance constant and a voltage source as function of time ... .

The Lagrangian of such system is ... .

The Euler-Lagrange’s equation of this system is

as its equation of motion ... .

Thus, the Newton’s second law for this electrical circuit is , where can be analogized as constant mass, and can be analogized as time-dependent-force ... .

Thank you for the answer ... .