Two particles travel along the space curves

Do the particles collide? Do they intersect?

so far I have:

for

therefore

for

therefore

I'm not sure if I have to take , where and where ?

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- Mar 10th 2008, 06:19 PMlllllspace curve question
Two particles travel along the space curves

Do the particles collide? Do they intersect?

so far I have:

for

therefore

for

therefore

I'm not sure if I have to take , where and where ? - Mar 11th 2008, 04:37 PMTriKri
Say they intersect, in that case, particle one intersects in the time and the second in time . We now have:

So, they intersect at two places. If they hadn't intersected, the equation(s) wouldn't have been possible to solve. Now if you want to se if they colide, put . Then we have , which doesn't fit with .