Answers to everything even imaginable. maybe more
#1&2: #3&4: #5: #7: If you have any death threats, please feel free to comment below. I know I already posted #5 before but w/e I realized I had all of them anyways so I might as well.
justinKennedy: June 5, 2015, 11:49 p.m.
Hey, I don't know if you'll you see this in time or if you already found out anyway, but I believe that for #5b, the orthogonal projection is the projection of s onto v (by the formula proj(v)s). This is equal to the proj(v1)s + proj(v2)s (just like for #7). I've gotten confused on the matter too; I have to remember that the "orthogonal projection" is proj(v)s which is "x parallel". What it seems you found I believe is "x perpendicular".
jlumxajaha: June 6, 2015, 7:19 a.m.
oh well