The uses of component vectors Resolving vectors into components can be very useful. Now we have not 10 but 20 vectors which need to be added up, but the job is much easier. The same goes for the 10 vectors lined up with the y -direction. The real world is three dimensional , and so are its vectors. The vector sum is now the diagonal of the rectangular box of which the three sums are the sides.
Components allow it to be calculated .
The vector addition triangle of this example is at the bottom of the first figure of this section. From which A is about 16.25 degrees. The inclined plane This goes back to Galileo's experiment . That is not the direction in which the block can accelerate. That force is completely cancelled by the resistance of the surface, which allows no motion in that direction, a matter which is again addressed at the end of section 18 .