Question

parameterize segment. (1-i) to (1+i) . Please help

Answer 1

If I work as usual, I get 1-i + 2it , t from 0 to 1
but my friend makes it easy by 1 + it , t from -1 to 1
I would like to know how he gets it forward, not backward. I meant if we know the parametric equation, then we can check whether it is right or wrong easily. Assume that we don't know it, like I am now, how can we get it from the given information?

Answer 2

is this not right:
v=(1,-1)-(1,1)=(0,-2)

so answer is (1,1)+t(0,-2)
or (1,1-2t)
or 1+(1-2t)i

Answer 3

http://mathinsight.org/line_parametrization_examples
I used this as example

Answer 4

I don't get what you mean but for the first line segment from 1-i to 1+i, the parameterized equation is not that

Answer 5

if t from 0 to 1, that is my solution. As I said above, my friend get from -1 to 1 with different equation which is faaaaaaaaaaaaar easier than my way on next step. But I don't know how he gets that way (Note: his equation is perfect right)

Answer 6

could you show how he gets backwards?