Technically speaking current actually flows from negative to positive, but before that was figured out everyone thought it was positive to negative. But it did really matter as long as the convention was the same everywhere.
No. Motors can be run in either direction, clockwise or counter clockwise. However, mechanically spinning an electric motor will generate electric power.
Direction of the electric field vector is the direction of the force experienced by a charged particle in an external electric field.
Those having only magnitude but no direction are known as scalar quantity. Time, mass, work, power, electric current, electric charge, moment of inertia, magnetic flux, electric flux and so many are found to be scalar in this world.
One place you and look into would be Siemens. Siemens has many offers and products related to electric power. Another place you could check with would be your own electric company. If they can't help you they can certainly lead you in the right direction.
The speed of motion generated by a motor is not a function of its nominal power. The nominal power, 3kW in this example, is an indicator for the electric power consumed, and for the force available in the direction of motion. The speed of a motor is determined by its construction, and can cover an extremely wide range regardless of its power.
The description AC/DC refers to equipment designed to be operate on either alternating current (AC) or direct current (DC). In alternating current the movement of electric charge periodically reverses direction. In direct current , the flow of electric charge is only in one direction.
A vector quantity can be described in many different units, because there are many different vector quantities. For example, a distance - when the direction is relevant - would be indicated in meters or km. (plus a direction), a velocity in meters per second plus a direction, an acceleration in meters per second square, plus a direction. Electric field might be indicated in Volts / meter, if I remember correctly again, including an indicating the direction.
Electric power
It has plenty of direction. The direction of the electric field at any point in it is the direction of the force that would be felt by an infinitesimally small positive charge placed at that point.
The answer to that question is entirely dependent on the motor. Many motors have an access plate where the power feeds into the motor. Removing that plate often reveals a wiring diagram that shows how to change the wiring to reverse the motor direction. But most AC electric motors do not provide the option of reversing direction.
An electric current that reverses its direction many times a second at regular intervals, typically used in power supplies.
There are many advantages of electric power over gas power. Electric power does not require fuel to work and electric can be a cleaner source of power.