In En the line segment P1 P2 joining points P1, P2 is formed of all points P such thata) I...

In En the line segment P1 P2 joining points P1, P2 is formed of all points P such that

a) In E4, show that (5, 10,−1, 8) is on the line segment from (1, 2, 3, 4) to (7, 14, −3, 10).

b) In E4, is (2, 8, 1, 6) on the line segment joining (1, 7, 2, 5) to (9, 2, 0, 7)?

c) In E5, find the midpoint of the line segment from P1: (2, 0, 1, 3, 7) to P2: (10, 4,−3, 3, 5); that is, find the point P on the segment such that

d) In E5, trisect the line segment joining (7, 1, 7, 9, 6) to (16, –2, 10, 3, 0).

e) In En, show that if P is on the line segment P1P2, then