I did a Trinket program that does all the vector operations I could come up with. VPython has a 'projection' command built-in, which is fun, but I also did it the way you showed on your board just to illustrate they are the same. I can input any two vectors and obtain a boat-load of results. It's way kewl!
i, j, k might be good for something like this, e^ln(3i+2j+1k). Don't know how it would be useful, I'm just saying. For dot products, I've noticed that there are cases where you dot an axis. I'm glad you emphasized that. People don't even know. I relearned that a few times. I've been wondering, is the magnitude the real part? It's there but not worked with unless we need it for something? It's implied.
Looking forward to your presentation.
I did a Trinket program that does all the vector operations I could come up with. VPython has a 'projection' command built-in, which is fun, but I also did it the way you showed on your board just to illustrate they are the same. I can input any two vectors and obtain a boat-load of results. It's way kewl!
"All the Math You Need for Physics: The Ultimate Guide (Step-by-Step)" -- The Math Sorcerer. Could it be so "simple"?
i, j, k might be good for something like this, e^ln(3i+2j+1k). Don't know how it would be useful, I'm just saying.
For dot products, I've noticed that there are cases where you dot an axis. I'm glad you emphasized that. People don't even know. I relearned that a few times.
I've been wondering, is the magnitude the real part? It's there but not worked with unless we need it for something? It's implied.