A physicist sends two particles on their way by programming the following parametric equations: Particle A:Pa= (−8 + 3t,12−5t,1 +t) Particle B:Pb= (10−3t,10−2t,−17 + 5t). When the physicist did not see the expected result, they realized that they forgot to change the parameters between particles. Change the parameters, show that the paths do in fact cross but that the particles do not collide.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A physicist sends two particles on their way by programming the following parametric equations:

Particle A:Pa= (−8 + 3t,12−5t,1 +t)

Particle B:Pb= (10−3t,10−2t,−17 + 5t).

When the physicist did not see the expected result, they realized that they forgot to change the parameters between particles. Change the parameters, show that the paths do in fact cross but that the particles do not collide.

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