Projection of vector
I'm working to reproduce an example made in GeoGebra* using Sage. What I got in GeoGebra looks like this,
- would add link if I could …
The goal is to find the length of _j_ only knowing _A_, _B_, and _C_.
Here's where I'm at in Sage, it seems really smart, but all help files and templates I find online feels way too advanced for where I'm currently at. I've written the code below and it's currently look like this,
code (thanks to @tmonteil I've been able to update my code with some calculations, I am still struggling to produce the plot),
A = (9, 5); B = (2, 4); C = (16, -2); AB = vector(B)-vector(A) BC = vector(C)-vector(B) P = plot(x,(x,2,5), color='red') P += AB.plot(color='green', start=A) P += BC.plot(color='green', start=B) print "Length of AB proj. onto BC" show(P, figsize=5, aspect_ratio=1) # show(AB.inner_product(BC)/BC.norm()^2*v2) show(AB.inner_product(BC)/BC.norm()) RDF(AB.inner_product(BC)/BC.norm())