How flight is landing & take off or moving left & right? (total controll)

Question

I know how it is going forward. pulling the air & throwing it to backward by big fans.

Answer 1

The rudder is for left and right, or yaw

The elevator is for up and down

The aeilerons are for banking left and right

Answer 2

I assume that by "flight" you mean aircraft?

Roughly speaking, and without going into too much details, to go up, the airplane flies at a speed and with a wing angle of attack that combined generate a bit more lifting force than the aircraft weight, causing a vertical acceleration. The process is reversed to go down (essentailly the airplane glides down), that is with a bit less thrust that is needed to remain at a constant altitude (the balance of energy to maintain speed is given by the potential energy of the airplane going down).

To turn, mobile surfaces at the tip of the wing called aileron deflect, causing one wing to generate a bit more lift and one to have a bit less. Since this force applies at the end of the wings, this creates a rolling motion that makes the airplane dips on one side, causing the overall lift force to be at an angle from the vertical. The portion of that force that is horizontal relative to the ground makes the airplane turn.

Again, this is making it extremely simplified. Going into details would take a lot more room than is available here.