Thread: Simple parametrization problem

How do I parametrize a straight line segment from (2,-1,3) to (4,2,-1)?

How do I parametrize path C from (0,0,0) to (4,2,3) that consists of three line segments parallel to x, y and z-axis in that order?

How do I parametrize path C from (-1,2,-2) to (1,5,2) that consists of three line segments parallel to the z-axis, x-axis, and y-axis in that order?

These are probably simple but I really need help

When we move from to , the following changes take place:

increases units
increases units
decreases units

Now let's say we want the independent variable of the parametrized line, , to range from to , so that as moves from to , the point will move from to . In that case, since



at , we obtain for our parametrization



Hint for the next problem: the first line of the path is given by