If a series circuit contains a 12-v battery, a 6-ohm resistor, and a 4-ohm resistor, what is the current in the circuit?

In a series circuit the total current is the same throughout resistors and so:

The voltage is distributed throughout the resistors and so:

and the total resistance can be calculated by adding up the resistors resistance:

First thing is to calculate the total resistance and so:

And by Omh's law V=IR we have:

And so the total current of the circuit is 1.2 amps i.e. 1.2 A.

where are the vectors ?