I am confused as to how equations like F = mA would be solved. would you have to write the two Vector quantities in component form? And if not, how would a physicist turn the vector quantity in component form into a regular number for easy use?
wait, so in an equation can you write the final vector quantity as just a magnitude? for example Force would be X newtons.
You can set the axes to your convenience. As Nugatory mentioned, if you're moving along a horizontal road you can define the x axis as a line parallel to the road any particular coordinates above, below, or level with the line, simply because it's convenient. If I was observing the road from space or from an airplane window, I might "define" my axis in a different manner for ease of understanding. The problem comes when you have more than one observation in directions which don't agree with each other, which happens frequently : when a ladder rests against a wall, there is no "one axis" where all the directions agree. So we take at least one or two of the observations to agree with the axes, in this case by letting the surface be the x axis and the perpendicular wall to be the y axis. Then you define the ladder position "relative" to these 2 axes.I understand. But how would you manipulate the coordinate axes to make the collision along on axis?
Latex. Try clicking the "Reply" link under my post and you'll see how I did it, and there's more documentation at https://www.physicsforums.com/help/latexhelp/Also, what are you using to write the equations and symbols?
Oh, I got it. So if you have a vector: F = 3x + 5y, how would you rearrange the axes in regard to P = 7x - 2y, so that you could describe the added vector as one number?