00:01
So we have these two points, 3, 2, 1, and 5, 6, 5.
00:06
And what we want to do is find the vector parameterization that passes through these two points.
00:12
Now any vector parameterization needs a position vector, a starting point, plus t times a direction vector.
00:22
Now your starting point can just be anywhere that you know to be on the line, and we know that there are two points on the line.
00:28
I'm going to choose the first one.
00:29
So we have 3, 2, 1.
00:32
And then the direction vector is the vector that gets us from one place to another.
00:37
And so since we have two points on the line, we can work out the direction vector by just thinking, how would we get from the first point to the second? so to get from 3 to 5, we need to go 2 in the x direction...