Why does a hook go further than a slice ?

The golf ball does not spin in two directions, it has a single axis of rotation. If the ball curves in flight then the axis is tilted.

If a ball has forward spin (topspin) it will have generally been topped and will dive into the ground. All other shots have backspin.

Slices tend generally to be created by steep swings that create high spin rates. This will send the ball on a high trajectory where the ball drops steeply with little roll out as the spin slows.

Hooks tend to generally be made by more rounded swings that create less spin and shallower trajectories. The ball will roll out more on landing.