confused ..do these two particles intersect? do they collide? r(t)sub1= and r(t)sub2= @MIT 18.02 Multiva…

Question

confused ..do these two particles intersect? do they collide? r(t)sub1= and r(t)sub2=<1+2t,1+6t, 1+14t> @MIT 18.02 Multiva…

zarkon · Answer

their paths cross, but they don't occupy the same space at the same time

anonymous · Answer

what formula did you use

zarkon · Answer

I used the two vector valued functions you provided.  no other formulas

anonymous · Answer

parametricequation route? p1=(0,0,0) v1=<1,1,1> p2=(1,1,1) v2=<2,6,4>

zarkon · Answer

in order to 'collide' they have to have the same 3 spatial coordinates at the same time....this is not possible

zarkon · Answer

both particles go through the points (1,1,1) and (2,4,8) but they do it at different times

anonymous · Answer

two meteors can't collide?

anonymous · Answer

ok, you want me to figure it out myself. Thank you

zarkon · Answer

Are they meteors  now?

across · Answer

hmm

across · Answer

$$t=1+2t$$$$t^2=1+6t$$$$t^3=1+14t$$

across · Answer

the first equation implies$$t=-1$$

across · Answer

but then$$1\neq-5$$

across · Answer

nor$$-1\neq-13$$

zarkon · Answer

solve $$r_1(t)=r_2(s)$$  you will find where they cross the same point.  But s and t will be different...

the way across wrote above is what I first did...then I checked to see if their paths ever crossed.

anonymous · Answer

thank yall