00:03
In this question, we are asked to find an equation of the plane, there's a point 2, 1 and negative 3 and containing the line r.
00:14
And here is a picture.
00:15
Here is our plane.
00:17
And somewhere here is, let's call the given point p.
00:21
Here is the point p.
00:23
And somewhere here is the line r.
00:28
And we want to find an equation of this plane.
00:33
First of all, let v be the direction vector of the line r.
00:42
And we can find the direction vector by taking the coefficients in front of t in the equation of r.
00:53
We can also create the second vector by connecting the point p to any point on the line r.
01:01
Let's call that point q.
01:05
Then, for example, we can take q to be equal to r o zero...