Randall's maze 3

Hello!!! And Merry Christmas! I hope it was a good day for all. And now back to physics. So in order to more fully understand what Randall means by ‘dimensions’ we need to understand the concept of vectors. This took me two years to fully understand! It’s a weird concept for those who aren’t used to it, so take your time and think about it… So what is a vector? A vector is just a straight line. But when we say vector with regard to dimensions we’re talking about a straight line anchored at one point. (no one on the internet seems to have done this so I will go ahead and do it!) Here’s an exercise that should be helpful. Get a piece of string (or something like it). Now we are going to set up a 3 dimensional coordinate system. All you have to do is declare and origin (or zero point like in the picture), it could be the corner of a table or a book or anything. Next you need to declare an axis. The normal axis in math and physics are: left right or x, back and forth or y, and up and down or z. Next hold one end of the string against your origin. That is the anchor for your vector. Now pull the string taut in any direction. And there you have a vector. You can move the one end but not the one connected to the origin. Ok now pick a vector position. Take your finger and put it up to the end of your vector. Now drop it straight now onto the table. This is your vectors ‘projection’ onto the ‘x-y’ plain. Now if you run your finger straight over to one of you sides or axis you have that axis, say the x axis, ‘component’. The only thing that physicist and mathematicians to is put numbers on them. I hope this walk through was helpful. If it wasn’t let me know and I can change it.