Vectors
Vectors
Can you explain when and how to use the different vector equations? Mainly I would like clarification on how to determine the x and y components on a vector, and how to add and subtract vectors?

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 Joined: Sat Mar 30, 2019 8:39 pm
Re: Vectors
If provided on a graph, you can simply read off the x and y components. However far the vector goes on the xaxis alone, that is it's xcomponent. Likewise for y.
If you are only provided with an angle, you'll need to use trigonometric identities to decompose the vector into a horizontal and vertical component. I've attached an image that should walk you through this:
Once you have horizontal and vertical components you can just add (or subtract) all the vertical and horizontal components to your heart's desire. Don't overthink it: A (3, 2) vector plus a (4, 1) vector gives a (7, 3) vector.
(As a small aside, I wrote 'launch vector' and 'launch angle'  of course, this works for any kind of angle, whether things are being launched or not. I had a little bit of kinematics on the brain when I made this just a minute ago )
If you are only provided with an angle, you'll need to use trigonometric identities to decompose the vector into a horizontal and vertical component. I've attached an image that should walk you through this:
Once you have horizontal and vertical components you can just add (or subtract) all the vertical and horizontal components to your heart's desire. Don't overthink it: A (3, 2) vector plus a (4, 1) vector gives a (7, 3) vector.
(As a small aside, I wrote 'launch vector' and 'launch angle'  of course, this works for any kind of angle, whether things are being launched or not. I had a little bit of kinematics on the brain when I made this just a minute ago )