Let be a line containing the points
and
. Determine which of the following points are also on
.
-
;
-
;
-
;
-
;
-
;
By Theorem 13.4 (page 474 of Apostol)we know that given two points


So, the set of points on are all points of the form
for
.
- The point
is not on
since there is no
such that
.
- The point
is on
since if we take
then
.
- The point
is not on
since
for any
.
- The point
is on
since if we take
then
.
- The point
is on
since if we take
then
.
Hi! Just want to let you know that for part b, I believe it is t = 3/4 instead of t = -3/4. Have a great day!