Make entity move in the direction its looking?

Hi,

I have made a procedure which makes an entity look in the same direction that the player looks but now I want to make the entity move in that direction, turning when the player also turns.

How do I achieve this as using straight-up movement vectors cause the entity to fly off in a specfic direction which doesn't work so what do I need to do to make it move in the direction it (and the player) is facing?

Thanks