00:01
All right, we've got a question here.
00:01
We want to find the vector equation and parametric equation for the line.
00:05
So basically the way that we do this is we write out our standard form, which is the same thing as r equals to r0 plus tv.
00:18
All right, here we write our r not as our original vector.
00:25
Excuse me, as the point that it passes through.
00:28
We know that the point it passes through 6, negative 5, and 2.
00:32
So we write that as 6, comma, negative 5, 2.
00:44
And we're going to add t multiplied by the v here.
00:48
And our b here is the vector that we're told it's parallel to.
00:55
So we're told that it's parallel to the vector, 1, 3, and negative 2 thirds...