Let
There is a unique plane containing these three points. Determine which of the following points are also on
.
-
;
-
;
-
;
-
;
-
.
First, we have
- The point
is on
since
Then,
And then,
So,
for
and
.
- The point
is on
since
Then,
And then,
So,
for
and
.
- The point
is on
since
Then,
And then,
So,
for
.
- The point
is not on
since
Then,
And then,
Hence,
is not on the plane.
- The point
is not on
since
Then,
And then,
Hence,
is not on the plane.