# Thread: Equation of the plane

1. ## Equation of the plane

Hi guys. I got a question that I am stuck on. Here it is.

Find an equation of the plane containing the point (2,1,-4),
and the line r = (1,3,0) + t(-3,2,-2).

Thanks. Answer should be y + z = 3

2. Originally Posted by Gotovina7
Hi guys. I got a question that I am stuck on. Here it is.

Find an equation of the plane containing the point (2,1,4),
and the line r = (1,3,0) + t(-3,2,-2).

Thanks. Answer should be y + z = 3
Use the given line to get two other points in the plane. Do you know how to find the equation of a plane given three points in the plane?

3. Originally Posted by Gotovina7
Hi guys. I got a question that I am stuck on. Here it is. Find an equation of the plane containing the point (2,1,4),
and the line r = (1,3,0) + t(-3,2,-2).
Answer should be y + z = 3
There is as mistake either in the statement of the problem or in the given answer.
The point (2,1,4) is not in the plane y+z=3.
Please check both statements for typos.

4. Yep I wrote the question down wrong, I am sorry. The point is suppose to be (2,1,-4). I will correct it in the question.

5. Originally Posted by Gotovina7
Yep I wrote the question down wrong, I am sorry. The point is suppose to be (2,1,-4). I will correct it in the question.
The point (2,1,-4) is not in the plane y+z=3, either.

Whatever the true point turns out to be, the approach I outlined in my initial reply is still valid.