## 3d Point Coordinates

As part of a larger question, i need to find a point the following line goes through:

r = -i + 2j + k + t(i-2k)

I have rearranged it into an alternative form (as per my notes) as

r = (t-1) i + 2j + (1-2t) k

i am supposed to be able to find a point the line passes through from this but i just cant see it, can someone help me out?
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 Recognitions: Homework Help Science Advisor What happens when t=0 or t=1?
 see that was what i was trying to think in terms of...but i couldn't see how there were two "limiting vectors" that defined the line. if t=0 you get -i+2j+k and if t=1 2j-k i cant help but think that these are significant somehow...

## 3d Point Coordinates

 Quote by Bucky see that was what i was trying to think in terms of...but i couldn't see how there were two "limiting vectors" that defined the line. if t=0 you get -i+2j+k and if t=1 2j-k i cant help but think that these are significant somehow...
Those are the position vectors of the two points, for t=0 and t=1, through which the line described by r passes.
 ah i think i get it. thank you very much for the help.