Two particles travel along the space curves r1(t) = t, t2, t3 r2(t) = 1 + 2t, 1 + 6t, 1 + 14t . find the points at which their paths intersect. (if an answer does not exist, enter dne.)

DNE

Step-by-step explanation:

Given that two particles travel along the space curves

To find the points of intersection:

At points of intersection both coordinates should be equal.

i.e. r1 =r2

Equate corresponding coordinates

I equation gives t =-1

Substitute in II equation to get

i.e. t cannot be real

Hence no point of intersection

DNE