Thread: parametric equation of a line in R^4

How do you find the parametric equation of a line in that passes through the points (1,2,3,4) and (5,6,7,8)?

Well, the general form of a line in any dimensions looks like this:



where is a vector parallel to the line, and is a vector from the origin to a point on the line. How could you get and

Originally Posted by Ackbeet

Well, the general form of a line in any dimensions looks like this:



where is a vector parallel to the line, and is a vector from the origin to a point on the line. How could you get and

How do you get v and b ?

How do you get v and b?

That's what I just asked you! Think to yourself: I've got two points on the line. There should be a way, from that information alone, to get a vector parallel to the line. What do you suppose that method is?