Thread: affine geometry

I need some help with parts c and part d. I haven't been able to come up with the right cofficients or p,q, and r such that a1+a2+a3 = 1.

P.S. these are homogenous coordinates.

so i was able to figure out part c. I'm kinda stuck on d. I don't know how to change find the position of the vector int he new coordinate frame. Can someone please get me started on part d.