Vectors are awesome!!!

Okay so this blog is about how to add vector components
In class, our teacher gave us a brilliant way or example of how we can break down vectors and add them!!
Are you ready *drum roll*
HE TOLD US TO BE LIKE NEO IN THE MOVIE MATRIX
confused?
it means that just like neo saw everything in binary code, we should break every component down into "x" and "y" components
so if there was a a diagonal component we should:
- find the x and y vector components
- use those to find the angle of the diagonal component
- and if there is a problem that needs to be solved then make a table and plug in the x and y values for each diagonal component and then add, subtract etc
- once you have the final x and y components then use Pythagorean theorem and tangent to find the length and angle of the final diagonal component.
Remember to have it as ___(S.I unit) [N/S___(degree)E/W]
OH one last thing
dont forget to set your positive axis
I will most likely use north and west but depending on the situation, those should be altered.