Let A and B be points such that dist(A, B) = 10.
a) If the point C is given by C = A + 2\overrightarrow{AB}, then what is the distance between A and C?
Answer: dist(A, C) =
b) If the point D is given by D = A + \frac{7}{2}\overrightarrow{AB}, then what is the distance between B and D?
Answer: dist(B, D) =
c) If the point E is given by E = B - \frac{7}{2}\overrightarrow{AB}, then what is the distance between A and E?
Answer: dist(A, E) =