Let
Then, define the plane . Determine which of the following points are on
.
-
;
-
;
-
;
-
;
-
.
First, we have
- The point
is not on
since
and
But then,
.
- The point
is not on
since
and
But then,
.
- The point
is on
since
and
Then,
. Hence,
for
.
- The point
is not on
since
and
But then,
.
- From part (d) we immediately see that
is on
.