Answer:
A) points at which paths intersect : (1,1,1) ; (2,4,8)
B) DNE
Step-by-step explanation:
A) To find the points in which the particle paths intersect, it is necessary to find the values of t for which the three components of both vectors are equal:
you replace t1 from the first equation in the second equation:
Then, for t2 = 0 and t2=1/2 you obtain for t1:
Hence, for t1=1 and t2=0 the paths intersect. Furthermore, for t1=2 and t2=1/2 the paths also intersect.
The points at which the paths intersect are:
B) You have the following two trajectories of two independent particles:
To find the time in which the particles collide, it is necessary that both particles are in the same position on the same time. That is, each component of the vectors must coincide:
From the first equation you have:
This values does not have a physical meaning, then, the particle do not collide
answer: DNE
