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.