You can calculate this for any number of forces to find the total force just by adding up all the components. To understand this conceptually, see below:
Imagine a ball being pushed by a force like we said above. Imagine that force as an arrow starting from the ball and extending outwards - its length will be dictated by the lengths of x and y for the force. So x = 10, y = 0
would be an arrow 5 units long, point east. With a little pythagoras, you could work out that an arrow representing x = 3, y = 4
would be 5 units long.
Now imagine you can pick up all of these arrows and place them tip-to-tail. So the first arrow takes us east by 5, the second arrow's tail would be positioned at x = 5, y = 0
. The second arrow's tail is placed here. Its tip would then be at x = 8, y = 4
. If we had a third arrow to add, we would put its tail where the tip of arrow #2 is.
Once you have laid all the arrows tip to tail, the final arrow's tip will be a new position. If you now draw an arrow such that it's tail starts at the tail of the ball/object (or simply at 0,0 if you're calculating total force), and its tip goes to the final arrow's tip, you will have a new arrow which represents the total force of all the other arrows.
Hope this explains it! Feel free to ask questions. :>